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12158694240 = 25357112314303
BaseRepresentation
bin10110101001011011…
…01111001101100000
31011101100201122220220
423110231233031200
5144400111203430
65330255003040
7610206124110
oct132455571540
934340648826
1012158694240
11517a2a1a40
122433b09480
1311b9cb8b44
14834b2b040
154b266b110
hex2d4b6f360

12158694240 has 384 divisors, whose sum is σ = 49830100992. Its totient is φ = 2416465920.

The previous prime is 12158694239. The next prime is 12158694257. The reversal of 12158694240 is 4249685121.

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 = 12158694192 and 12158694201.

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, 842929 + ... + 857231.

It is an arithmetic number, because the mean of its divisors is an integer number (129765888).

Almost surely, 212158694240 is an apocalyptic number.

12158694240 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 12158694240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24915050496).

12158694240 is an abundant number, since it is smaller than the sum of its proper divisors (37671406752).

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

12158694240 is a wasteful number, since it uses less digits than its factorization.

12158694240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14362 (or 14354 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 12158694240 in words is "twelve billion, one hundred fifty-eight million, six hundred ninety-four thousand, two hundred forty".