121754010400 has 144 divisors (see below), whose sum is σ = 324451733760. Its totient is φ = 44247065600.

The previous prime is 121754010377. The next prime is 121754010431. The reversal of 121754010400 is 4010457121.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19418466 + ... + 19424734.

It is an arithmetic number, because the mean of its divisors is an integer number (2253137040).

Almost surely, 2^121754010400 is an apocalyptic number.

121754010400 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 121754010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162225866880).

121754010400 is an abundant number, since it is smaller than the sum of its proper divisors (202697723360).

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

121754010400 is a wasteful number, since it uses less digits than its factorization.

121754010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8507 (or 8494 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

Adding to 121754010400 its reverse (4010457121), we get a palindrome (125764467521).

The spelling of 121754010400 in words is "one hundred twenty-one billion, seven hundred fifty-four million, ten thousand, four hundred".