121100972400 has 720 divisors, whose sum is σ = 455344864000. Its totient is φ = 30560302080.

The previous prime is 121100972393. The next prime is 121100972417. The reversal of 121100972400 is 4279001121.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 608547501 + ... + 608547699.

Almost surely, 2^121100972400 is an apocalyptic number.

121100972400 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 121100972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227672432000).

121100972400 is an abundant number, since it is smaller than the sum of its proper divisors (334243891600).

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

121100972400 is a wasteful number, since it uses less digits than its factorization.

121100972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 121100972400 its reverse (4279001121), we get a palindrome (125379973521).

The spelling of 121100972400 in words is "one hundred twenty-one billion, one hundred million, nine hundred seventy-two thousand, four hundred".