2112133724220 has 192 divisors, whose sum is σ = 6476230494720. Its totient is φ = 511155532800.

The previous prime is 2112133724209. The next prime is 2112133724221. The reversal of 2112133724220 is 224273312112.

It is a super-2 number, since 2×2112133724220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112133724221) 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, 120416211 + ... + 120433749.

It is an arithmetic number, because the mean of its divisors is an integer number (33730367160).

Almost surely, 2^{2112133724220} is an apocalyptic number.

2112133724220 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 2112133724220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238115247360).

2112133724220 is an abundant number, since it is smaller than the sum of its proper divisors (4364096770500).

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

2112133724220 is a wasteful number, since it uses less digits than its factorization.

2112133724220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20156 (or 20154 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 2112133724220 in words is "two trillion, one hundred twelve billion, one hundred thirty-three million, seven hundred twenty-four thousand, two hundred twenty".