122414442000000 has 224 divisors, whose sum is σ = 406449019260960. Its totient is φ = 32643849600000.

The previous prime is 122414441999821. The next prime is 122414442000007. The reversal of 122414442000000 is 244414221.

It is a super-2 number, since 2×122414442000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (122414442000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4201204 + ... + 16201203.

Almost surely, 2^{122414442000000} is an apocalyptic number.

122414442000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122414442000000 is an abundant number, since it is smaller than the sum of its proper divisors (284034577260960).

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

122414442000000 is an frugal number, since it uses more digits than its factorization.

122414442000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20402454 (or 20402417 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 122414442000000 its reverse (244414221), we get a palindrome (122414686414221).

The spelling of 122414442000000 in words is "one hundred twenty-two trillion, four hundred fourteen billion, four hundred forty-two million", and thus it is an aban number.