121257690400 has 288 divisors, whose sum is σ = 380975616000. Its totient is φ = 36574848000.

The previous prime is 121257690361. The next prime is 121257690409. The reversal of 121257690400 is 4096752121.

It is a super-2 number, since 2×121257690400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121257690400.

It is not an unprimeable number, because it can be changed into a prime (121257690409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1877851 + ... + 1941349.

It is an arithmetic number, because the mean of its divisors is an integer number (1322832000).

Almost surely, 2^121257690400 is an apocalyptic number.

121257690400 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 121257690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190487808000).

121257690400 is an abundant number, since it is smaller than the sum of its proper divisors (259717925600).

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

121257690400 is a wasteful number, since it uses less digits than its factorization.

121257690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63568 (or 63555 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 121257690400 in words is "one hundred twenty-one billion, two hundred fifty-seven million, six hundred ninety thousand, four hundred".