121649126400 has 1056 divisors, whose sum is σ = 481257888000. Its totient is φ = 30019092480.

The previous prime is 121649126363. The next prime is 121649126407. The reversal of 121649126400 is 4621946121.

121649126400 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 4 + 9 + 1 + 2 + 640 + 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 not an unprimeable number, because it can be changed into a prime (121649126407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 774835122 + ... + 774835278.

Almost surely, 2^121649126400 is an apocalyptic number.

121649126400 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 121649126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240628944000).

121649126400 is an abundant number, since it is smaller than the sum of its proper divisors (359608761600).

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

121649126400 is a wasteful number, since it uses less digits than its factorization.

121649126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 121649126400 in words is "one hundred twenty-one billion, six hundred forty-nine million, one hundred twenty-six thousand, four hundred".