12061275516000 has 240 divisors, whose sum is σ = 44268902758080. Its totient is φ = 3216340051200.

The previous prime is 12061275515999. The next prime is 12061275516001. The reversal of 12061275516000 is 61557216021.

12061275516000 is a `hidden beast` number, since 1 + 20 + 6 + 1 + 27 + 5 + 5 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12061275515999) and next prime (12061275516001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12061275516000² (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 not an unprimeable number, because it can be changed into a prime (12061275516001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18289080 + ... + 18937079.

It is an arithmetic number, because the mean of its divisors is an integer number (184453761492).

Almost surely, 2^{12061275516000} is an apocalyptic number.

12061275516000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12061275516000 is an abundant number, since it is smaller than the sum of its proper divisors (32207627242080).

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

12061275516000 is an equidigital number, since it uses as much as digits as its factorization.

12061275516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37226196 (or 37226169 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 12061275516000 in words is "twelve trillion, sixty-one billion, two hundred seventy-five million, five hundred sixteen thousand".