121975603200 has 756 divisors, whose sum is σ = 486807467328. Its totient is φ = 28940697600.

The previous prime is 121975603199. The next prime is 121975603259. The reversal of 121975603200 is 2306579121.

121975603200 is a `hidden beast` number, since 1 + 2 + 1 + 97 + 560 + 3 + 2 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 2595225577 + ... + 2595225623.

Almost surely, 2^121975603200 is an apocalyptic number.

121975603200 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 121975603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243403733664).

121975603200 is an abundant number, since it is smaller than the sum of its proper divisors (364831864128).

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

121975603200 is an frugal number, since it uses more digits than its factorization.

121975603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 121975603200 in words is "one hundred twenty-one billion, nine hundred seventy-five million, six hundred three thousand, two hundred".