121139511747072 has 640 divisors, whose sum is σ = 400447585714176. Its totient is φ = 31688564539392.

The previous prime is 121139511747071. The next prime is 121139511747083. The reversal of 121139511747072 is 270747115931121.

It is a happy number.

It is a super-3 number, since 3×121139511747072³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121139511747071) 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, 8565326433 + ... + 8565340575.

Almost surely, 2^{121139511747072} is an apocalyptic number.

121139511747072 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 121139511747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200223792857088).

121139511747072 is an abundant number, since it is smaller than the sum of its proper divisors (279308073967104).

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

121139511747072 is a wasteful number, since it uses less digits than its factorization.

121139511747072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14680 (or 14664 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 51.

The spelling of 121139511747072 in words is "one hundred twenty-one trillion, one hundred thirty-nine billion, five hundred eleven million, seven hundred forty-seven thousand, seventy-two".