121549658400 has 288 divisors, whose sum is σ = 440898655680. Its totient is φ = 32317839360.

The previous prime is 121549658381. The next prime is 121549658401. The reversal of 121549658400 is 4856945121.

121549658400 is a `hidden beast` number, since 1 + 2 + 1 + 549 + 65 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (121549658401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7487092 + ... + 7503308.

It is an arithmetic number, because the mean of its divisors is an integer number (1530898110).

Almost surely, 2^121549658400 is an apocalyptic number.

121549658400 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 121549658400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220449327840).

121549658400 is an abundant number, since it is smaller than the sum of its proper divisors (319348997280).

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

121549658400 is a wasteful number, since it uses less digits than its factorization.

121549658400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16593 (or 16574 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 121549658400 in words is "one hundred twenty-one billion, five hundred forty-nine million, six hundred fifty-eight thousand, four hundred".