122161153210500 has 384 divisors, whose sum is σ = 376233409843200. Its totient is φ = 30715490304000.

The previous prime is 122161153210417. The next prime is 122161153210573. The reversal of 122161153210500 is 5012351161221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9455923041 + ... + 9455935959.

It is an arithmetic number, because the mean of its divisors is an integer number (979774504800).

Almost surely, 2^{122161153210500} is an apocalyptic number.

122161153210500 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 122161153210500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188116704921600).

122161153210500 is an abundant number, since it is smaller than the sum of its proper divisors (254072256632700).

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

122161153210500 is a wasteful number, since it uses less digits than its factorization.

122161153210500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14508 (or 14496 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 122161153210500 in words is "one hundred twenty-two trillion, one hundred sixty-one billion, one hundred fifty-three million, two hundred ten thousand, five hundred".