122544000000 has 924 divisors, whose sum is σ = 474002370192. Its totient is φ = 30412800000.

The previous prime is 122543999999. The next prime is 122544000067. The reversal of 122544000000 is 445221.

122544000000 is a `hidden beast` number, since 1 + 225 + 440 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3311999982 + ... + 3312000018.

Almost surely, 2^122544000000 is an apocalyptic number.

122544000000 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 122544000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237001185096).

122544000000 is an abundant number, since it is smaller than the sum of its proper divisors (351458370192).

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

122544000000 is an frugal number, since it uses more digits than its factorization.

122544000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 122544000000 its reverse (445221), we get a palindrome (122544445221).

The spelling of 122544000000 in words is "one hundred twenty-two billion, five hundred forty-four million", and thus it is an aban number.