117002121600 has 1728 divisors, whose sum is σ = 519138804240. Its totient is φ = 22945628160.

The previous prime is 117002121589. The next prime is 117002121629. The reversal of 117002121600 is 6121200711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2207587174 + ... + 2207587226.

Almost surely, 2^117002121600 is an apocalyptic number.

117002121600 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 117002121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259569402120).

117002121600 is an abundant number, since it is smaller than the sum of its proper divisors (402136682640).

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

117002121600 is a wasteful number, since it uses less digits than its factorization.

117002121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The spelling of 117002121600 in words is "one hundred seventeen billion, two million, one hundred twenty-one thousand, six hundred".