122551460141000 has 256 divisors, whose sum is σ = 313319833931520. Its totient is φ = 44495942400000.

The previous prime is 122551460140877. The next prime is 122551460141009. The reversal of 122551460141000 is 141064155221.

It is a happy number.

It is a super-2 number, since 2×122551460141000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122551460141009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25892974634 + ... + 25892979366.

It is an arithmetic number, because the mean of its divisors is an integer number (1223905601295).

Almost surely, 2^{122551460141000} is an apocalyptic number.

122551460141000 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 122551460141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156659916965760).

122551460141000 is an abundant number, since it is smaller than the sum of its proper divisors (190768373790520).

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

122551460141000 is a wasteful number, since it uses less digits than its factorization.

122551460141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7873 (or 7859 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 122551460141000 in words is "one hundred twenty-two trillion, five hundred fifty-one billion, four hundred sixty million, one hundred forty-one thousand".