121300779600 has 1440 divisors, whose sum is σ = 579678398208. Its totient is φ = 22671360000.

The previous prime is 121300779569. The next prime is 121300779637. The reversal of 121300779600 is 6977003121.

It is a happy number.

121300779600 is a `hidden beast` number, since 12 + 1 + 30 + 0 + 7 + 7 + 9 + 600 = 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 287 ways as a sum of consecutive naturals, for example, 147747190 + ... + 147748010.

Almost surely, 2^121300779600 is an apocalyptic number.

121300779600 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 121300779600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289839199104).

121300779600 is an abundant number, since it is smaller than the sum of its proper divisors (458377618608).

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

121300779600 is a wasteful number, since it uses less digits than its factorization.

121300779600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 121300779600 in words is "one hundred twenty-one billion, three hundred million, seven hundred seventy-nine thousand, six hundred".