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12084022656 = 273210489603
BaseRepresentation
bin10110100000100001…
…11000110110000000
31011012011012221202200
423100100320312000
5144222002211111
65315030313200
7605311332516
oct132020706600
934164187680
1012084022656
115141130092
122412ab8800
1311a76a2b84
14828c504b6
154aad1b256
hex2d0438d80

12084022656 has 48 divisors (see below), whose sum is σ = 34773037260. Its totient is φ = 4028007168.

The previous prime is 12084022633. The next prime is 12084022679. The reversal of 12084022656 is 65622048021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12084022633) and next prime (12084022679).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12084022656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5243650 + ... + 5245953.

Almost surely, 212084022656 is an apocalyptic number.

12084022656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12084022656 is an abundant number, since it is smaller than the sum of its proper divisors (22689014604).

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

12084022656 is a wasteful number, since it uses less digits than its factorization.

12084022656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10489623 (or 10489608 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12084022656 in words is "twelve billion, eighty-four million, twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10489603 20979206 31468809 41958412 62937618 83916824 94406427 125875236 167833648 188812854 251750472 335667296 377625708 503500944 671334592 755251416 1007001888 1342669184 1510502832 2014003776 3021005664 4028007552 6042011328 12084022656