2113220001120 has 192 divisors, whose sum is σ = 6723427576320. Its totient is φ = 557875150848.

The previous prime is 2113220001107. The next prime is 2113220001121. The reversal of 2113220001120 is 211000223112.

It is a super-2 number, since 2×2113220001120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2113220001120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113220001121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236664816 + ... + 236673744.

It is an arithmetic number, because the mean of its divisors is an integer number (35017851960).

Almost surely, 2^{2113220001120} is an apocalyptic number.

2113220001120 is a gapful number since it is divisible by the number (20) 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 2113220001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361713788160).

2113220001120 is an abundant number, since it is smaller than the sum of its proper divisors (4610207575200).

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

2113220001120 is a wasteful number, since it uses less digits than its factorization.

2113220001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13837 (or 13829 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2113220001120 its reverse (211000223112), we get a palindrome (2324220224232).

The spelling of 2113220001120 in words is "two trillion, one hundred thirteen billion, two hundred twenty million, one thousand, one hundred twenty".