122142000000 has 224 divisors, whose sum is σ = 405564339960. Its totient is φ = 32569600000.

The previous prime is 122141999999. The next prime is 122142000037. The reversal of 122142000000 is 241221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 122142000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5989822 + ... + 6010178.

Almost surely, 2^122142000000 is an apocalyptic number.

122142000000 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 122142000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202782169980).

122142000000 is an abundant number, since it is smaller than the sum of its proper divisors (283422339960).

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

122142000000 is an frugal number, since it uses more digits than its factorization.

122142000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20404 (or 20367 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122142000000 its reverse (241221), we get a palindrome (122142241221).

The spelling of 122142000000 in words is "one hundred twenty-two billion, one hundred forty-two million", and thus it is an aban number.