121314123600 has 120 divisors (see below), whose sum is σ = 388825551072. Its totient is φ = 32332454400.

The previous prime is 121314123547. The next prime is 121314123613. The reversal of 121314123600 is 6321413121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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, 2206039 + ... + 2260361.

Almost surely, 2^121314123600 is an apocalyptic number.

121314123600 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 121314123600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194412775536).

121314123600 is an abundant number, since it is smaller than the sum of its proper divisors (267511427472).

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

121314123600 is a wasteful number, since it uses less digits than its factorization.

121314123600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56205 (or 56194 counting only the distinct ones).

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

Adding to 121314123600 its reverse (6321413121), we get a palindrome (127635536721).

The spelling of 121314123600 in words is "one hundred twenty-one billion, three hundred fourteen million, one hundred twenty-three thousand, six hundred".