121600001172 has 192 divisors, whose sum is σ = 317623299840. Its totient is φ = 35969826816.

The previous prime is 121600001147. The next prime is 121600001207. The reversal of 121600001172 is 271100006121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210744948 + ... + 210745524.

It is an arithmetic number, because the mean of its divisors is an integer number (1654288020).

Almost surely, 2^121600001172 is an apocalyptic number.

121600001172 is a gapful number since it is divisible by the number (12) 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 121600001172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158811649920).

121600001172 is an abundant number, since it is smaller than the sum of its proper divisors (196023298668).

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

121600001172 is a wasteful number, since it uses less digits than its factorization.

121600001172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

Adding to 121600001172 its reverse (271100006121), we get a palindrome (392700007293).

The spelling of 121600001172 in words is "one hundred twenty-one billion, six hundred million, one thousand, one hundred seventy-two".