122132100000 has 288 divisors, whose sum is σ = 402087514752. Its totient is φ = 32457600000.

The previous prime is 122132099989. The next prime is 122132100019. The reversal of 122132100000 is 1231221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126299517 + ... + 126300483.

It is an arithmetic number, because the mean of its divisors is an integer number (1396137204).

Almost surely, 2^122132100000 is an apocalyptic number.

122132100000 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 122132100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201043757376).

122132100000 is an abundant number, since it is smaller than the sum of its proper divisors (279955414752).

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

122132100000 is an frugal number, since it uses more digits than its factorization.

122132100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122132100000 its reverse (1231221), we get a palindrome (122133331221).

The spelling of 122132100000 in words is "one hundred twenty-two billion, one hundred thirty-two million, one hundred thousand".