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12000088000021 = 11171313377871847
BaseRepresentation
bin1010111010011111110011…
…1110111000011000010101
31120111012022202122222010111
42232213330332320120111
53033102140012000041
641304433032123021
72345656240005232
oct256477476703025
946435282588114
1012000088000021
11390723291a5a0
121419845236471
136907ac9c13c4
142d6b43568789
1515c23aa04981
hexae9fcfb8615

12000088000021 has 64 divisors (see below), whose sum is σ = 14033712236544. Its totient is φ = 10140441292800.

The previous prime is 12000088000003. The next prime is 12000088000063.

12000088000021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12000088000021 - 25 = 12000087999989 is a prime.

It is a super-2 number, since 2×120000880000212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12000087999956 and 12000088000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000088003021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6497068920 + ... + 6497070766.

It is an arithmetic number, because the mean of its divisors is an integer number (219276753696).

Almost surely, 212000088000021 is an apocalyptic number.

12000088000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12000088000021 is a deficient number, since it is larger than the sum of its proper divisors (2033624236523).

12000088000021 is a wasteful number, since it uses less digits than its factorization.

12000088000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130.

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 1200008 and 8000021, that added together give a palindrome (9200029).

The spelling of 12000088000021 in words is "twelve trillion, eighty-eight million, twenty-one", and thus it is an aban number and an uban number.

Divisors: 1 11 17 131 187 337 787 1441 1847 2227 3707 5729 8657 13379 20317 24497 31399 44147 63019 103097 147169 241957 265219 345389 485617 622439 750499 1134067 1453589 1752649 2661527 2917409 4113269 4508723 6846829 8255489 10581463 15989479 19279139 24711013 34743689 45245959 49595953 81539509 116396093 190420159 271821143 382180579 489859493 590642713 896934599 1386171653 2094621749 3237142703 5388454423 6497069843 8327611381 15247888183 35608569733 64171593583 91603725191 705887529413 1090917090911 12000088000021