121252513200 has 720 divisors, whose sum is σ = 499972166400. Its totient is φ = 24458987520.

The previous prime is 121252513171. The next prime is 121252513253. The reversal of 121252513200 is 2315252121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57765751 + ... + 57767849.

Almost surely, 2^121252513200 is an apocalyptic number.

121252513200 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 121252513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249986083200).

121252513200 is an abundant number, since it is smaller than the sum of its proper divisors (378719653200).

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

121252513200 is a wasteful number, since it uses less digits than its factorization.

121252513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 121252513200 its reverse (2315252121), we get a palindrome (123567765321).

The spelling of 121252513200 in words is "one hundred twenty-one billion, two hundred fifty-two million, five hundred thirteen thousand, two hundred".