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12122110011120 = 2435200325216571
BaseRepresentation
bin1011000001100110011000…
…0011111010011011110000
31120220212021200121101101220
42300121212003322123300
53042102040130323440
641440453115225040
72360536120665564
oct260314603723360
946825250541356
1012122110011120
113953a5a09556a
12143941a148180
1369c157a8b735
142dc9db2596a4
151604cd2698d0
hexb06660fa6f0

12122110011120 has 80 divisors (see below), whose sum is σ = 37597303654272. Its totient is φ = 3230948680960.

The previous prime is 12122110011061. The next prime is 12122110011127. The reversal of 12122110011120 is 2111001122121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×121221100111202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12122110011120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122110011127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12127566 + ... + 13089005.

Almost surely, 212122110011120 is an apocalyptic number.

12122110011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122110011120 is an abundant number, since it is smaller than the sum of its proper divisors (25475193643152).

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

12122110011120 is a wasteful number, since it uses less digits than its factorization.

12122110011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25218590 (or 25218584 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12122110011120 its reverse (2111001122121), we get a palindrome (14233111133241).

The spelling of 12122110011120 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2003 4006 6009 8012 10015 12018 16024 20030 24036 30045 32048 40060 48072 60090 80120 96144 120180 160240 240360 480720 25216571 50433142 75649713 100866284 126082855 151299426 201732568 252165710 302598852 378248565 403465136 504331420 605197704 756497130 1008662840 1210395408 1512994260 2017325680 3025988520 6051977040 50508791713 101017583426 151526375139 202035166852 252543958565 303052750278 404070333704 505087917130 606105500556 757631875695 808140667408 1010175834260 1212211001112 1515263751390 2020351668520 2424422002224 3030527502780 4040703337040 6061055005560 12122110011120