122151445140 has 192 divisors, whose sum is σ = 355096304640. Its totient is φ = 31371494400.

The previous prime is 122151445123. The next prime is 122151445187. The reversal of 122151445140 is 41544151221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122151445098 and 122151445107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450743205 + ... + 450743475.

It is an arithmetic number, because the mean of its divisors is an integer number (1849459920).

Almost surely, 2^122151445140 is an apocalyptic number.

122151445140 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 122151445140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177548152320).

122151445140 is an abundant number, since it is smaller than the sum of its proper divisors (232944859500).

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

122151445140 is a wasteful number, since it uses less digits than its factorization.

122151445140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 122151445140 its reverse (41544151221), we get a palindrome (163695596361).

The spelling of 122151445140 in words is "one hundred twenty-two billion, one hundred fifty-one million, four hundred forty-five thousand, one hundred forty".