121562496000 has 1056 divisors, whose sum is σ = 489589603776. Its totient is φ = 28753920000.

The previous prime is 121562495941. The next prime is 121562496017. The reversal of 121562496000 is 694265121.

121562496000 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 6 + 2 + 49 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 671615910 + ... + 671616090.

Almost surely, 2^121562496000 is an apocalyptic number.

121562496000 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 121562496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244794801888).

121562496000 is an abundant number, since it is smaller than the sum of its proper divisors (368027107776).

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

121562496000 is a wasteful number, since it uses less digits than its factorization.

121562496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 121562496000 in words is "one hundred twenty-one billion, five hundred sixty-two million, four hundred ninety-six thousand".