121142313600 has 384 divisors, whose sum is σ = 497473159680. Its totient is φ = 25172275200.

The previous prime is 121142313583. The next prime is 121142313619. The reversal of 121142313600 is 6313241121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×121142313600³ (a number of 34 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 657259 + ... + 821141.

It is an arithmetic number, because the mean of its divisors is an integer number (1295503020).

Almost surely, 2^121142313600 is an apocalyptic number.

121142313600 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 121142313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248736579840).

121142313600 is an abundant number, since it is smaller than the sum of its proper divisors (376330846080).

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

121142313600 is a wasteful number, since it uses less digits than its factorization.

121142313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163928 (or 163911 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 121142313600 its reverse (6313241121), we get a palindrome (127455554721).

The spelling of 121142313600 in words is "one hundred twenty-one billion, one hundred forty-two million, three hundred thirteen thousand, six hundred".