121253145600 has 264 divisors, whose sum is σ = 408322950480. Its totient is φ = 31723028480.

The previous prime is 121253145581. The next prime is 121253145619. The reversal of 121253145600 is 6541352121.

It is an interprime number because it is at equal distance from previous prime (121253145581) and next prime (121253145619).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4055506 + ... + 4085294.

Almost surely, 2^121253145600 is an apocalyptic number.

121253145600 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 121253145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204161475240).

121253145600 is an abundant number, since it is smaller than the sum of its proper divisors (287069804880).

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

121253145600 is a wasteful number, since it uses less digits than its factorization.

121253145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29875 (or 29852 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 121253145600 its reverse (6541352121), we get a palindrome (127794497721).

The spelling of 121253145600 in words is "one hundred twenty-one billion, two hundred fifty-three million, one hundred forty-five thousand, six hundred".