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12057631000 = 235389135479
BaseRepresentation
bin10110011101011000…
…01101100100011000
31011010022120010012221
423032230031210120
5144143223143000
65312244513424
7604541113102
oct131654154430
934108503187
1012057631000
1151282446a8
1224060ab874
1311a20923cc
14825540572
154a885661a
hex2ceb0d918

12057631000 has 64 divisors (see below), whose sum is σ = 28532088000. Its totient is φ = 4768825600.

The previous prime is 12057630979. The next prime is 12057631007. The reversal of 12057631000 is 13675021.

It is a super-2 number, since 2×120576310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12057631007) 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, 21261 + ... + 156739.

It is an arithmetic number, because the mean of its divisors is an integer number (445813875).

Almost surely, 212057631000 is an apocalyptic number.

12057631000 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 12057631000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266044000).

12057631000 is an abundant number, since it is smaller than the sum of its proper divisors (16474457000).

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

12057631000 is a wasteful number, since it uses less digits than its factorization.

12057631000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135589 (or 135575 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The spelling of 12057631000 in words is "twelve billion, fifty-seven million, six hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 712 890 1000 1780 2225 3560 4450 8900 11125 17800 22250 44500 89000 135479 270958 541916 677395 1083832 1354790 2709580 3386975 5419160 6773950 12057631 13547900 16934875 24115262 27095800 33869750 48230524 60288155 67739500 96461048 120576310 135479000 241152620 301440775 482305240 602881550 1205763100 1507203875 2411526200 3014407750 6028815500 12057631000