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12231437137920 = 21132572111323147
BaseRepresentation
bin1011000111111101101001…
…1101110011100000000000
31121022022110212212212021100
42301333122131303200000
53100344440401403140
642003013351054400
72401456262145600
oct261773235634000
947268425785240
1012231437137920
113996361434020
12145664b671400
136a955ba56500
1430400cd26c00
1516327b24c530
hexb1fda773800

12231437137920 has 5184 divisors, whose sum is σ = 61411105566720. Its totient is φ = 2222102937600.

The previous prime is 12231437137891. The next prime is 12231437137979. The reversal of 12231437137920 is 2973173413221.

12231437137920 is a `hidden beast` number, since 1 + 2 + 231 + 43 + 7 + 1 + 379 + 2 + 0 = 666.

12231437137920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122314371379202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 260243343337 + ... + 260243343383.

It is an arithmetic number, because the mean of its divisors is an integer number (11846278080).

Almost surely, 212231437137920 is an apocalyptic number.

12231437137920 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 12231437137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30705552783360).

12231437137920 is an abundant number, since it is smaller than the sum of its proper divisors (49179668428800).

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

12231437137920 is a wasteful number, since it uses less digits than its factorization.

12231437137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 12231437137920 in words is "twelve trillion, two hundred thirty-one billion, four hundred thirty-seven million, one hundred thirty-seven thousand, nine hundred twenty".