122261315400 has 288 divisors, whose sum is σ = 484389235200. Its totient is φ = 27043891200.

The previous prime is 122261315327. The next prime is 122261315413. The reversal of 122261315400 is 4513162221.

122261315400 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 613 + 1 + 5 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234096 + ... + 547104.

Almost surely, 2^122261315400 is an apocalyptic number.

122261315400 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 122261315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242194617600).

122261315400 is an abundant number, since it is smaller than the sum of its proper divisors (362127919800).

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

122261315400 is a wasteful number, since it uses less digits than its factorization.

122261315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313069 (or 313057 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 122261315400 its reverse (4513162221), we get a palindrome (126774477621).

The spelling of 122261315400 in words is "one hundred twenty-two billion, two hundred sixty-one million, three hundred fifteen thousand, four hundred".