121547949600 has 1152 divisors, whose sum is σ = 520766668800. Its totient is φ = 24385536000.

The previous prime is 121547949559. The next prime is 121547949637. The reversal of 121547949600 is 6949745121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 121547949600.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 280710984 + ... + 280711416.

It is an arithmetic number, because the mean of its divisors is an integer number (452054400).

Almost surely, 2^121547949600 is an apocalyptic number.

121547949600 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 121547949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260383334400).

121547949600 is an abundant number, since it is smaller than the sum of its proper divisors (399218719200).

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

121547949600 is a wasteful number, since it uses less digits than its factorization.

121547949600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 121547949600 in words is "one hundred twenty-one billion, five hundred forty-seven million, nine hundred forty-nine thousand, six hundred".