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12069297240 = 233571113259131
BaseRepresentation
bin10110011110110001…
…01101110001011000
31011011010111211021220
423033120231301120
5144204220002430
65313342532040
7605042222340
oct131730556130
934133454256
1012069297240
115133892720
122409b97020
1311a4618500
14826cd9d20
154a98ad110
hex2cf62dc58

12069297240 has 768 divisors, whose sum is σ = 50089881600. Its totient is φ = 2258380800.

The previous prime is 12069297199. The next prime is 12069297241. The reversal of 12069297240 is 4279296021.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 12069297192 and 12069297201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12069297241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92131975 + ... + 92132105.

It is an arithmetic number, because the mean of its divisors is an integer number (65221200).

Almost surely, 212069297240 is an apocalyptic number.

12069297240 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 12069297240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25044940800).

12069297240 is an abundant number, since it is smaller than the sum of its proper divisors (38020584360).

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

12069297240 is a wasteful number, since it uses less digits than its factorization.

12069297240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 12069297240 in words is "twelve billion, sixty-nine million, two hundred ninety-seven thousand, two hundred forty".