117212001984 has 672 divisors, whose sum is σ = 443281612800. Its totient is φ = 28687841280.

The previous prime is 117212001961. The next prime is 117212002051. The reversal of 117212001984 is 489100212711.

117212001984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 309266307 + ... + 309266685.

Almost surely, 2^117212001984 is an apocalyptic number.

117212001984 is a gapful number since it is divisible by the number (14) 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 117212001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221640806400).

117212001984 is an abundant number, since it is smaller than the sum of its proper divisors (326069610816).

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

117212001984 is a wasteful number, since it uses less digits than its factorization.

117212001984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 117212001984 in words is "one hundred seventeen billion, two hundred twelve million, one thousand, nine hundred eighty-four".