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12002310131000 = 2353717125980111
BaseRepresentation
bin1010111010101000000101…
…1011101000110100111000
31120111102001121222220202212
42232222001123220310320
53033121212343143000
641305441332114252
72346065301550220
oct256520133506470
946442047886685
1012002310131000
113908173195482
12141a165465988
13690a751a10c7
142d6cb4727080
1515c31ab43c35
hexaea816e8d38

12002310131000 has 256 divisors, whose sum is σ = 34013119795200. Its totient is φ = 3869889792000.

The previous prime is 12002310130997. The next prime is 12002310131023. The reversal of 12002310131000 is 13101320021.

It is a super-2 number, since 2×120023101310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149780945 + ... + 149861055.

It is an arithmetic number, because the mean of its divisors is an integer number (132863749200).

Almost surely, 212002310131000 is an apocalyptic number.

12002310131000 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 12002310131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17006559897600).

12002310131000 is an abundant number, since it is smaller than the sum of its proper divisors (22010809664200).

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

12002310131000 is a wasteful number, since it uses less digits than its factorization.

12002310131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81415 (or 81401 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12002310131000 its reverse (13101320021), we get a palindrome (12015411451021).

The spelling of 12002310131000 in words is "twelve trillion, two billion, three hundred ten million, one hundred thirty-one thousand".