122151114304000 has 640 divisors, whose sum is σ = 323619440601600. Its totient is φ = 45858344140800.

The previous prime is 122151114303949. The next prime is 122151114304069. The reversal of 122151114304000 is 403411151221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 65008575061 + ... + 65008576939.

It is an arithmetic number, because the mean of its divisors is an integer number (505655375940).

Almost surely, 2^{122151114304000} is an apocalyptic number.

122151114304000 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 122151114304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161809720300800).

122151114304000 is an abundant number, since it is smaller than the sum of its proper divisors (201468326297600).

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

122151114304000 is a wasteful number, since it uses less digits than its factorization.

122151114304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 122151114304000 its reverse (403411151221), we get a palindrome (122554525455221).

The spelling of 122151114304000 in words is "one hundred twenty-two trillion, one hundred fifty-one billion, one hundred fourteen million, three hundred four thousand".