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1221121340000 = 2554527311579
BaseRepresentation
bin10001110001010000100…
…000001111001001100000
311022201221001020100112022
4101301100200033021200
5130001324030340000
62332550404121012
7154136345062532
oct21612040171140
94281831210468
101221121340000
11430969186491
121787b3096168
138b1c73a5623
1443161705852
1521b6e105585
hex11c5080f260

1221121340000 has 120 divisors (see below), whose sum is σ = 3004970882760. Its totient is φ = 488313728000.

The previous prime is 1221121339981. The next prime is 1221121340011. The reversal of 1221121340000 is 431211221.

It is a super-2 number, since 2×12211213400002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105454211 + ... + 105465789.

It is an arithmetic number, because the mean of its divisors is an integer number (25041424023).

Almost surely, 21221121340000 is an apocalyptic number.

1221121340000 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 1221121340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502485441380).

1221121340000 is an abundant number, since it is smaller than the sum of its proper divisors (1783849542760).

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

1221121340000 is an equidigital number, since it uses as much as digits as its factorization.

1221121340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16882 (or 16859 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1221121340000 its reverse (431211221), we get a palindrome (1221552551221).

The spelling of 1221121340000 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-one million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 5273 10000 10546 11579 20000 21092 23158 26365 42184 46316 52730 57895 84368 92632 105460 115790 131825 168736 185264 210920 231580 263650 289475 370528 421840 463160 527300 578950 659125 843680 926320 1054600 1157900 1318250 1447375 1852640 2109200 2315800 2636500 2894750 3295625 4218400 4631600 5273000 5789500 6591250 7236875 9263200 10546000 11579000 13182500 14473750 21092000 23158000 26365000 28947500 46316000 52730000 57895000 61056067 105460000 115790000 122112134 231580000 244224268 305280335 488448536 610560670 976897072 1221121340 1526401675 1953794144 2442242680 3052803350 4884485360 6105606700 7632008375 9768970720 12211213400 15264016750 24422426800 30528033500 38160041875 48844853600 61056067000 76320083750 122112134000 152640167500 244224268000 305280335000 610560670000 1221121340000