111220290344952 has 256 divisors, whose sum is σ = 321029740800000. Its totient is φ = 35634829644288.

The previous prime is 111220290344881. The next prime is 111220290344953. The reversal of 111220290344952 is 259443092022111.

111220290344952 is a `hidden beast` number, since 1 + 1 + 12 + 2 + 0 + 290 + 344 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 111220290344898 and 111220290344907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111220290344953) 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, 6352169574 + ... + 6352187082.

It is an arithmetic number, because the mean of its divisors is an integer number (1254022425000).

Almost surely, 2^{111220290344952} is an apocalyptic number.

111220290344952 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 111220290344952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160514870400000).

111220290344952 is an abundant number, since it is smaller than the sum of its proper divisors (209809450455048).

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

111220290344952 is a wasteful number, since it uses less digits than its factorization.

111220290344952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22035 (or 22025 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 111220290344952 in words is "one hundred eleven trillion, two hundred twenty billion, two hundred ninety million, three hundred forty-four thousand, nine hundred fifty-two".