122252434000 has 80 divisors (see below), whose sum is σ = 295713836496. Its totient is φ = 48883200000.

The previous prime is 122252433977. The next prime is 122252434019. The reversal of 122252434000 is 434252221.

It can be written as a sum of positive squares in 8 ways, for example, as 34877803536 + 87374630464 = 186756^2 + 295592^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6424500 + ... + 6443500.

Almost surely, 2^122252434000 is an apocalyptic number.

122252434000 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 122252434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147856918248).

122252434000 is an abundant number, since it is smaller than the sum of its proper divisors (173461402496).

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

122252434000 is a wasteful number, since it uses less digits than its factorization.

122252434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22241 (or 22225 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 122252434000 its reverse (434252221), we get a palindrome (122686686221).

The spelling of 122252434000 in words is "one hundred twenty-two billion, two hundred fifty-two million, four hundred thirty-four thousand".