121968864990 has 384 divisors, whose sum is σ = 401335741440. Its totient is φ = 26225337600.

The previous prime is 121968864959. The next prime is 121968865049. The reversal of 121968864990 is 99468869121.

121968864990 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 68 + 86 + 499 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 18558405 + ... + 18564975.

It is an arithmetic number, because the mean of its divisors is an integer number (1045145160).

Almost surely, 2^121968864990 is an apocalyptic number.

121968864990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121968864990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200667870720).

121968864990 is an abundant number, since it is smaller than the sum of its proper divisors (279366876450).

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

121968864990 is a wasteful number, since it uses less digits than its factorization.

121968864990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 121968864990 in words is "one hundred twenty-one billion, nine hundred sixty-eight million, eight hundred sixty-four thousand, nine hundred ninety".