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12695232000 = 29353116011
BaseRepresentation
bin10111101001011000…
…11101111000000000
31012202202022121100210
423310230131320000
5201444434411000
65455422514120
7626412456123
oct136454357000
935682277323
1012695232000
115425144780
122563735940
1312741c48c9
148860b43ba
154e4800350
hex2f4b1de00

12695232000 has 320 divisors, whose sum is σ = 46053266688. Its totient is φ = 3077120000.

The previous prime is 12695231963. The next prime is 12695232013. The reversal of 12695232000 is 23259621.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×126952320002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2108995 + ... + 2115005.

Almost surely, 212695232000 is an apocalyptic number.

12695232000 is a gapful number since it is divisible by the number (10) 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 12695232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23026633344).

12695232000 is an abundant number, since it is smaller than the sum of its proper divisors (33358034688).

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

12695232000 is an equidigital number, since it uses as much as digits as its factorization.

12695232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058 (or 6032 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 12695232000 in words is "twelve billion, six hundred ninety-five million, two hundred thirty-two thousand".