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12270002976 = 2532721179043
BaseRepresentation
bin10110110110101100…
…10110001100100000
31011200010011201210200
423123112112030200
5200112110043401
65345312425200
7613030206300
oct133326261440
934603151720
1012270002976
115227107930
122465248200
13120708baba
14845823600
154bc306686
hex2db596320

12270002976 has 216 divisors, whose sum is σ = 44280132624. Its totient is φ = 3186973440.

The previous prime is 12270002939. The next prime is 12270002999. The reversal of 12270002976 is 67920007221.

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 12270002976.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115711 + ... + 194753.

It is an arithmetic number, because the mean of its divisors is an integer number (205000614).

Almost surely, 212270002976 is an apocalyptic number.

12270002976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12270002976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22140066312).

12270002976 is an abundant number, since it is smaller than the sum of its proper divisors (32010129648).

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

12270002976 is a wasteful number, since it uses less digits than its factorization.

12270002976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79084 (or 79066 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 12270002976 in words is "twelve billion, two hundred seventy million, two thousand, nine hundred seventy-six".