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12021323032320 = 2835717101260467
BaseRepresentation
bin1010111011101110111010…
…1100000110011100000000
31120120020010200010101012020
42232323232230012130000
53033424132144013240
641322304120401440
72350340406545340
oct256735654063400
946506120111166
1012021323032320
11391523a502668
121421990916280
136927b5207b84
142d7b9989cd20
1515ca7edcb0d0
hexaeeeeb06700

12021323032320 has 576 divisors, whose sum is σ = 46919046859776. Its totient is φ = 2560484966400.

The previous prime is 12021323032307. The next prime is 12021323032333. The reversal of 12021323032320 is 2323032312021.

12021323032320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12021323032307) and next prime (12021323032333).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 46022727 + ... + 46283193.

It is an arithmetic number, because the mean of its divisors is an integer number (81456678576).

Almost surely, 212021323032320 is an apocalyptic number.

12021323032320 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 12021323032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23459523429888).

12021323032320 is an abundant number, since it is smaller than the sum of its proper divisors (34897723827456).

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

12021323032320 is a wasteful number, since it uses less digits than its factorization.

12021323032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260616 (or 260602 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12021323032320 its reverse (2323032312021), we get a palindrome (14344355344341).

The spelling of 12021323032320 in words is "twelve trillion, twenty-one billion, three hundred twenty-three million, thirty-two thousand, three hundred twenty".