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1210211100120 = 2335111019077491
BaseRepresentation
bin10001100111000110001…
…100111110010111011000
311021200202200200202000210
4101213012030332113120
5124312003020200440
62323544023531120
7153302105423151
oct21470614762730
94250680622023
101210211100120
1142727a685810
121766692b9aa0
138a178c47999
144280871c928
1521731396a80
hex119c633e5d8

1210211100120 has 128 divisors (see below), whose sum is σ = 3999906074880. Its totient is φ = 290479680000.

The previous prime is 1210211100113. The next prime is 1210211100143. The reversal of 1210211100120 is 210011120121.

It is a super-2 number, since 2×12102111001202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1210211100096 and 1210211100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4405426 + ... + 4672065.

It is an arithmetic number, because the mean of its divisors is an integer number (31249266210).

Almost surely, 21210211100120 is an apocalyptic number.

1210211100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1210211100120 is an abundant number, since it is smaller than the sum of its proper divisors (2789694974760).

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

1210211100120 is a wasteful number, since it uses less digits than its factorization.

1210211100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9077617 (or 9077613 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1210211100120 its reverse (210011120121), we get a palindrome (1420222220241).

The spelling of 1210211100120 in words is "one trillion, two hundred ten billion, two hundred eleven million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 22220 26664 33330 44440 66660 133320 9077491 18154982 27232473 36309964 45387455 54464946 72619928 90774910 99852401 108929892 136162365 181549820 199704802 217859784 272324730 299557203 363099640 399409604 499262005 544649460 599114406 798819208 916826591 998524010 1089298920 1198228812 1497786015 1833653182 1997048020 2396457624 2750479773 2995572030 3667306364 3994096040 4584132955 5500959546 5991144060 7334612728 9168265910 10085092501 11001919092 11982288120 13752398865 18336531820 20170185002 22003838184 27504797730 30255277503 36673063640 40340370004 50425462505 55009595460 60510555006 80680740008 100850925010 110019190920 121021110012 151276387515 201701850020 242042220024 302552775030 403403700040 605105550060 1210211100120