2112114155200 has 168 divisors, whose sum is σ = 5940866606432. Its totient is φ = 723994951680.

The previous prime is 2112114155191. The next prime is 2112114155231. The reversal of 2112114155200 is 25514112112.

It is a super-2 number, since 2×2112114155200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58591582 + ... + 58627618.

Almost surely, 2^{2112114155200} is an apocalyptic number.

2112114155200 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 2112114155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970433303216).

2112114155200 is an abundant number, since it is smaller than the sum of its proper divisors (3828752451232).

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

2112114155200 is a wasteful number, since it uses less digits than its factorization.

2112114155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41299 (or 41284 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

Adding to 2112114155200 its reverse (25514112112), we get a palindrome (2137628267312).

The spelling of 2112114155200 in words is "two trillion, one hundred twelve billion, one hundred fourteen million, one hundred fifty-five thousand, two hundred".