2412120400 has 60 divisors (see below), whose sum is σ = 6047104032. Its totient is φ = 922894720.

The previous prime is 2412120397. The next prime is 2412120401. The reversal of 2412120400 is 40212142.

It is a super-4 number, since 4×2412120400⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412120401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121894 + ... + 140293.

Almost surely, 2^2412120400 is an apocalyptic number.

2412120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412120400 is an abundant number, since it is smaller than the sum of its proper divisors (3634983632).

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

2412120400 is a wasteful number, since it uses less digits than its factorization.

2412120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262228 (or 262217 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2412120400 is about 49113.3423826968. The cubic root of 2412120400 is about 1341.1159486778.

Adding to 2412120400 its reverse (40212142), we get a palindrome (2452332542).

It can be divided in two parts, 24121 and 20400, that added together give a square (44521 = 211²).

The spelling of 2412120400 in words is "two billion, four hundred twelve million, one hundred twenty thousand, four hundred".