121134825696 has 288 divisors, whose sum is σ = 347622589440. Its totient is φ = 36832333824.

The previous prime is 121134825607. The next prime is 121134825751. The reversal of 121134825696 is 696528431121.

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

It is a congruent number.

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, 884195740 + ... + 884195876.

It is an arithmetic number, because the mean of its divisors is an integer number (1207022880).

Almost surely, 2^121134825696 is an apocalyptic number.

121134825696 is a gapful number since it is divisible by the number (16) 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 121134825696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173811294720).

121134825696 is an abundant number, since it is smaller than the sum of its proper divisors (226487763744).

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

121134825696 is a wasteful number, since it uses less digits than its factorization.

121134825696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 281 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The spelling of 121134825696 in words is "one hundred twenty-one billion, one hundred thirty-four million, eight hundred twenty-five thousand, six hundred ninety-six".