12151395810000 has 600 divisors, whose sum is σ = 44585737996800. Its totient is φ = 3084393600000.

The previous prime is 12151395809953. The next prime is 12151395810023. The reversal of 12151395810000 is 1859315121.

12151395810000 is a `hidden beast` number, since 1 + 21 + 51 + 3 + 9 + 581 + 0 + 0 + 0 + 0 = 666.

12151395810000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×12151395810000² (a number of 27 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 170154301 + ... + 170225699.

It is an arithmetic number, because the mean of its divisors is an integer number (74309563328).

Almost surely, 2^{12151395810000} is an apocalyptic number.

12151395810000 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 12151395810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22292868998400).

12151395810000 is an abundant number, since it is smaller than the sum of its proper divisors (32434342186800).

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

12151395810000 is a wasteful number, since it uses less digits than its factorization.

12151395810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71525 (or 71501 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 12151395810000 in words is "twelve trillion, one hundred fifty-one billion, three hundred ninety-five million, eight hundred ten thousand".