121825435380 has 864 divisors, whose sum is σ = 431510188032. Its totient is φ = 25584007680.

The previous prime is 121825435301. The next prime is 121825435393. The reversal of 121825435380 is 83534528121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2592030517 + ... + 2592030563.

It is an arithmetic number, because the mean of its divisors is an integer number (499433088).

Almost surely, 2^121825435380 is an apocalyptic number.

121825435380 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 121825435380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215755094016).

121825435380 is an abundant number, since it is smaller than the sum of its proper divisors (309684752652).

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

121825435380 is a wasteful number, since it uses less digits than its factorization.

121825435380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 121825435380 in words is "one hundred twenty-one billion, eight hundred twenty-five million, four hundred thirty-five thousand, three hundred eighty".