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12099237696 = 26327131912149
BaseRepresentation
bin10110100010010101…
…11011011101000000
31011020012211221212200
423101022323131000
5144234401101241
65320332353200
7605554552320
oct132112733500
934205757780
1012099237696
1151497823a7
122418015800
1311aa89c360
1482ac91280
154ac3244b6
hex2d12bb740

12099237696 has 336 divisors, whose sum is σ = 44933616000. Its totient is φ = 3022811136.

The previous prime is 12099237649. The next prime is 12099237701. The reversal of 12099237696 is 69673299021.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 989830 + ... + 1001978.

It is an arithmetic number, because the mean of its divisors is an integer number (133731000).

Almost surely, 212099237696 is an apocalyptic number.

12099237696 is a gapful number since it is divisible by the number (16) 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 12099237696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22466808000).

12099237696 is an abundant number, since it is smaller than the sum of its proper divisors (32834378304).

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

12099237696 is a wasteful number, since it uses less digits than its factorization.

12099237696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12206 (or 12193 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 12099237696 in words is "twelve billion, ninety-nine million, two hundred thirty-seven thousand, six hundred ninety-six".