121164246000 has 480 divisors, whose sum is σ = 488481342336. Its totient is φ = 27417600000.

The previous prime is 121164245989. The next prime is 121164246011. The reversal of 121164246000 is 642461121.

121164246000 is a `hidden beast` number, since 1 + 2 + 1 + 16 + 42 + 4 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121164245989) and next prime (121164246011).

It is a congruent number.

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, 12721240 + ... + 12730760.

Almost surely, 2^121164246000 is an apocalyptic number.

121164246000 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 121164246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244240671168).

121164246000 is an abundant number, since it is smaller than the sum of its proper divisors (367317096336).

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

121164246000 is a wasteful number, since it uses less digits than its factorization.

121164246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9658 (or 9639 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 121164246000 in words is "one hundred twenty-one billion, one hundred sixty-four million, two hundred forty-six thousand".