2111012400 has 240 divisors, whose sum is σ = 8183476224. Its totient is φ = 454103040.

The previous prime is 2111012359. The next prime is 2111012401. The reversal of 2111012400 is 42101112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2111012401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135409 + ... + 150191.

Almost surely, 2^2111012400 is an apocalyptic number.

2111012400 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 2111012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091738112).

2111012400 is an abundant number, since it is smaller than the sum of its proper divisors (6072463824).

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

2111012400 is a wasteful number, since it uses less digits than its factorization.

2111012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14828 (or 14817 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2111012400 is about 45945.7549725761. The cubic root of 2111012400 is about 1282.8137159128.

Adding to 2111012400 its reverse (42101112), we get a palindrome (2153113512).

The spelling of 2111012400 in words is "two billion, one hundred eleven million, twelve thousand, four hundred".