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12102111010120 = 2352740071104179
BaseRepresentation
bin1011000000011011111000…
…0001110001110101001000
31120211221122220221212112011
42300012332001301311020
53041240110404310440
641423344423225304
72356230410202325
oct260067601616510
946757586855464
1012102111010120
11394652718906a
1214355785a8234
1369a2bb673731
142dba61153b4c
1515ec0c6499ea
hexb01be071d48

12102111010120 has 32 divisors (see below), whose sum is σ = 27229873809600. Its totient is φ = 4840822353088.

The previous prime is 12102111010117. The next prime is 12102111010123. The reversal of 12102111010120 is 2101011120121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12102111010117) and next prime (12102111010123).

It is a super-2 number, since 2×121021110101202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12102111010120.

It is not an unprimeable number, because it can be changed into a prime (12102111010123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10408191 + ... + 11512369.

It is an arithmetic number, because the mean of its divisors is an integer number (850933556550).

Almost surely, 212102111010120 is an apocalyptic number.

12102111010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102111010120 is an abundant number, since it is smaller than the sum of its proper divisors (15127762799480).

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

12102111010120 is a wasteful number, since it uses less digits than its factorization.

12102111010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378197 (or 1378193 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12102111010120 its reverse (2101011120121), we get a palindrome (14203122130241).

The spelling of 12102111010120 in words is "twelve trillion, one hundred two billion, one hundred eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 274007 548014 1096028 1104179 1370035 2192056 2208358 2740070 4416716 5480140 5520895 8833432 10960280 11041790 22083580 44167160 302552775253 605105550506 1210211101012 1512763876265 2420422202024 3025527752530 6051055505060 12102111010120