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1210212100000 = 255531390391
BaseRepresentation
bin10001100111000110010…
…000110010011110100000
311021200202202120112121101
4101213012100302132200
5124312003244200000
62323544101204144
7153302120056231
oct21470620623640
94250682515541
101210212100000
114272801a8a62
12176669700654
138a179207b27
14428088dd088
15217314e2e6a
hex119c64327a0

1210212100000 has 144 divisors (see below), whose sum is σ = 3074140242432. Its totient is φ = 468468000000.

The previous prime is 1210212099989. The next prime is 1210212100001. The reversal of 1210212100000 is 12120121.

It is a super-2 number, since 2×12102121000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1210212100000.

It is not an unprimeable number, because it can be changed into a prime (1210212100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2904805 + ... + 3295195.

It is an arithmetic number, because the mean of its divisors is an integer number (21348196128).

Almost surely, 21210212100000 is an apocalyptic number.

1210212100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537070121216).

1210212100000 is an abundant number, since it is smaller than the sum of its proper divisors (1863928142432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1210212100000 is an frugal number, since it uses more digits than its factorization.

1210212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390457 (or 390429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1210212100000 its reverse (12120121), we get a palindrome (1210224220121).

The spelling of 1210212100000 in words is "one trillion, two hundred ten billion, two hundred twelve million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 625 775 800 992 1000 1240 1250 1550 2000 2480 2500 3100 3125 3875 4000 4960 5000 6200 6250 7750 10000 12400 12500 15500 19375 20000 24800 25000 31000 38750 50000 62000 77500 96875 100000 124000 155000 193750 310000 387500 390391 620000 775000 780782 1550000 1561564 1951955 3100000 3123128 3903910 6246256 7807820 9759775 12102121 12492512 15615640 19519550 24204242 31231280 39039100 48408484 48798875 60510605 62462560 78078200 96816968 97597750 121021210 156156400 193633936 195195500 242042420 243994375 302553025 312312800 387267872 390391000 484084840 487988750 605106050 780782000 968169680 975977500 1210212100 1219971875 1512765125 1561564000 1936339360 1951955000 2420424200 2439943750 3025530250 3903910000 4840848400 4879887500 6051060500 7563825625 7807820000 9681696800 9759775000 12102121000 15127651250 19519550000 24204242000 30255302500 37819128125 39039100000 48408484000 60510605000 75638256250 121021210000 151276512500 242042420000 302553025000 605106050000 1210212100000