101712140496000 has 1536 divisors, whose sum is σ = 394709471432640. Its totient is φ = 25008537600000.

The previous prime is 101712140495963. The next prime is 101712140496059. The reversal of 101712140496000 is 694041217101.

101712140496000 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 1 + 2 + 1 + 4 + 0 + 49 + 600 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 2006483582016 + 99705656913984 = 1416504^2 + 9985272^2 .

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 191 ways as a sum of consecutive naturals, for example, 23983053880 + ... + 23983058120.

Almost surely, 2^{101712140496000} is an apocalyptic number.

101712140496000 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 101712140496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197354735716320).

101712140496000 is an abundant number, since it is smaller than the sum of its proper divisors (292997330936640).

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

101712140496000 is a wasteful number, since it uses less digits than its factorization.

101712140496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 101712140496000 in words is "one hundred one trillion, seven hundred twelve billion, one hundred forty million, four hundred ninety-six thousand".