121101795072 has 216 divisors, whose sum is σ = 380221405200. Its totient is φ = 36923572224.

The previous prime is 121101794999. The next prime is 121101795083. The reversal of 121101795072 is 270597101121.

121101795072 is a `hidden beast` number, since 121 + 10 + 17 + 9 + 507 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221808 + ... + 1317200.

Almost surely, 2^121101795072 is an apocalyptic number.

121101795072 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 121101795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190110702600).

121101795072 is an abundant number, since it is smaller than the sum of its proper divisors (259119610128).

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

121101795072 is a wasteful number, since it uses less digits than its factorization.

121101795072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95463 (or 95446 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

Adding to 121101795072 its reverse (270597101121), we get a palindrome (391698896193).

The spelling of 121101795072 in words is "one hundred twenty-one billion, one hundred one million, seven hundred ninety-five thousand, seventy-two".