121111255135044 has 144 divisors (see below), whose sum is σ = 332928012283776. Its totient is φ = 36966948480000.

The previous prime is 121111255134973. The next prime is 121111255135067. The reversal of 121111255135044 is 440531552111121.

It is a happy number.

121111255135044 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 1 + 12 + 551 + 3 + 50 + 44 = 666.

121111255135044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121111255135044² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499201569 + ... + 499444119.

It is an arithmetic number, because the mean of its divisors is an integer number (2312000085304).

Almost surely, 2^{121111255135044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121111255135044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166464006141888).

121111255135044 is an abundant number, since it is smaller than the sum of its proper divisors (211816757148732).

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

121111255135044 is a wasteful number, since it uses less digits than its factorization.

121111255135044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264666 (or 264661 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 121111255135044 in words is "one hundred twenty-one trillion, one hundred eleven billion, two hundred fifty-five million, one hundred thirty-five thousand, forty-four".