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12100210222120 = 2351597189420949
BaseRepresentation
bin1011000000010100110010…
…1110110110010000101000
31120211202202110021211120121
42300011030232312100220
53041222212304101440
641422432042533024
72356132326601336
oct260051456662050
946752673254517
1012100210222120
113945741244999
121435127b07174
1369a0779252c7
142db920922b56
1515eb4a83334a
hexb014cbb6428

12100210222120 has 32 divisors (see below), whose sum is σ = 27242521029000. Its totient is φ = 4837053328128.

The previous prime is 12100210222117. The next prime is 12100210222157. The reversal of 12100210222120 is 2122201200121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10907523443716 + 1192686778404 = 3302654^2 + 1092102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12100210222094 and 12100210222103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94646595 + ... + 94774354.

Almost surely, 212100210222120 is an apocalyptic number.

12100210222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100210222120 is an abundant number, since it is smaller than the sum of its proper divisors (15142310806880).

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

12100210222120 is a wasteful number, since it uses less digits than its factorization.

12100210222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189422557 (or 189422553 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12100210222120 its reverse (2122201200121), we get a palindrome (14222411422241).

The spelling of 12100210222120 in words is "twelve trillion, one hundred billion, two hundred ten million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1597 3194 6388 7985 12776 15970 31940 63880 189420949 378841898 757683796 947104745 1515367592 1894209490 3788418980 7576837960 302505255553 605010511106 1210021022212 1512526277765 2420042044424 3025052555530 6050105111060 12100210222120