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12285141792 = 2537113315021
BaseRepresentation
bin10110111000100000…
…00110001100100000
31011201011122212100120
423130100012030200
5200124444014132
65351013120240
7613302660630
oct133420061440
934634585316
1012285141792
115234707950
12246a329080
13120a25c691
148478446c0
154bd7e702c
hex2dc406320

12285141792 has 192 divisors, whose sum is σ = 40335418368. Its totient is φ = 3180672000.

The previous prime is 12285141779. The next prime is 12285141811. The reversal of 12285141792 is 29714158221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2444242 + ... + 2449262.

It is an arithmetic number, because the mean of its divisors is an integer number (210080304).

Almost surely, 212285141792 is an apocalyptic number.

12285141792 is a gapful number since it is divisible by the number (12) 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 12285141792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167709184).

12285141792 is an abundant number, since it is smaller than the sum of its proper divisors (28050276576).

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

12285141792 is a wasteful number, since it uses less digits than its factorization.

12285141792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5375 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The spelling of 12285141792 in words is "twelve billion, two hundred eighty-five million, one hundred forty-one thousand, seven hundred ninety-two".