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12021032112000 = 273531716978681
BaseRepresentation
bin1010111011101101110101…
…0110010100111110000000
31120120012101101201002112120
42232323131112110332000
53033423033210041000
641322215205124240
72350330245013212
oct256733526247600
946505341632476
1012021032112000
11391510026a94a
12142190b3b9680
13692769b68a82
142d7b6cdb05b2
1515ca645b26a0
hexaeedd594f80

12021032112000 has 512 divisors, whose sum is σ = 42223549829760. Its totient is φ = 3014918144000.

The previous prime is 12021032111969. The next prime is 12021032112013. The reversal of 12021032112000 is 21123012021.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1384747660 + ... + 1384756340.

Almost surely, 212021032112000 is an apocalyptic number.

12021032112000 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 12021032112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21111774914880).

12021032112000 is an abundant number, since it is smaller than the sum of its proper divisors (30202517717760).

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

12021032112000 is a wasteful number, since it uses less digits than its factorization.

12021032112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10427 (or 10405 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12021032112000 its reverse (21123012021), we get a palindrome (12042155124021).

The spelling of 12021032112000 in words is "twelve trillion, twenty-one billion, thirty-two million, one hundred twelve thousand".