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12143623680 = 29395241
BaseRepresentation
bin10110100111101000…
…01111111000000000
31011100022101000000000
423103310033320000
5144332231424210
65325000000000
7606634045446
oct132364177000
934308330000
1012143623680
115171839231
12242aa60000
1311b6b40356
14832b26b96
154b1190ac0
hex2d3d0fe00

12143623680 has 400 divisors, whose sum is σ = 43854831504. Its totient is φ = 3224862720.

The previous prime is 12143623643. The next prime is 12143623703. The reversal of 12143623680 is 8632634121.

12143623680 is a `hidden beast` number, since 1 + 21 + 4 + 3 + 623 + 6 + 8 + 0 = 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 39 ways as a sum of consecutive naturals, for example, 50388360 + ... + 50388600.

Almost surely, 212143623680 is an apocalyptic number.

12143623680 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 12143623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21927415752).

12143623680 is an abundant number, since it is smaller than the sum of its proper divisors (31711207824).

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

12143623680 is an frugal number, since it uses more digits than its factorization.

12143623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12143623680 in words is "twelve billion, one hundred forty-three million, six hundred twenty-three thousand, six hundred eighty".