12535037061120 has 864 divisors, whose sum is σ = 52280319709800. Its totient is φ = 2766324105216.

The previous prime is 12535037061083. The next prime is 12535037061143. The reversal of 12535037061120 is 2116073053521.

12535037061120 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 5 + 0 + 37 + 0 + 611 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6879163769856 + 5655873291264 = 2622816^2 + 2378208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130911502 + ... + 131007218.

Almost surely, 2^{12535037061120} is an apocalyptic number.

12535037061120 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 12535037061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26140159854900).

12535037061120 is an abundant number, since it is smaller than the sum of its proper divisors (39745282648680).

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

12535037061120 is a wasteful number, since it uses less digits than its factorization.

12535037061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95793 (or 95763 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 12535037061120 in words is "twelve trillion, five hundred thirty-five billion, thirty-seven million, sixty-one thousand, one hundred twenty".