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12040069392 = 24341317127331
BaseRepresentation
bin10110011011010010…
…01110000100010000
31011002002111220020000
423031221032010100
5144124224210032
65310420250000
7604235621061
oct131551160420
934062456200
1012040069392
11511933a37a
122400240900
13119b553b20
1482308c568
154a7037e7c
hex2cda4e110

12040069392 has 400 divisors, whose sum is σ = 40169428992. Its totient is φ = 3448811520.

The previous prime is 12040069367. The next prime is 12040069423. The reversal of 12040069392 is 29396004021.

12040069392 is a `hidden beast` number, since 1 + 204 + 0 + 0 + 69 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36374667 + ... + 36374997.

Almost surely, 212040069392 is an apocalyptic number.

12040069392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

12040069392 is the 54864-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12040069392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20084714496).

12040069392 is an abundant number, since it is smaller than the sum of its proper divisors (28129359600).

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

12040069392 is a wasteful number, since it uses less digits than its factorization.

12040069392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 12040069392 in words is "twelve billion, forty million, sixty-nine thousand, three hundred ninety-two".