1247166201600 has 1512 divisors, whose sum is σ = 5318926233600. Its totient is φ = 286206566400.

The previous prime is 1247166201599. The next prime is 1247166201629. The reversal of 1247166201600 is 61026617421.

1247166201600 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 16 + 620 + 16 + 0 + 0 = 666.

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 167 ways as a sum of consecutive naturals, for example, 975109761 + ... + 975111039.

Almost surely, 2^{1247166201600} is an apocalyptic number.

1247166201600 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 1247166201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659463116800).

1247166201600 is an abundant number, since it is smaller than the sum of its proper divisors (4071760032000).

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

1247166201600 is a wasteful number, since it uses less digits than its factorization.

1247166201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1247166201600 in words is "one trillion, two hundred forty-seven billion, one hundred sixty-six million, two hundred one thousand, six hundred".