120011400 has 144 divisors (see below), whose sum is σ = 410020260. Its totient is φ = 31449600.

The previous prime is 120011393. The next prime is 120011413. The reversal of 120011400 is 4110021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 46703556 + 73307844 = 6834^2 + 8562^2 .

It is a super-2 number, since 2×120011400² = 28805472259920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 109254 + ... + 110346.

Almost surely, 2^120011400 is an apocalyptic number.

120011400 is a gapful number since it is divisible by the number (10) 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 120011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205010130).

120011400 is an abundant number, since it is smaller than the sum of its proper divisors (290008860).

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

120011400 is a wasteful number, since it uses less digits than its factorization.

120011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120011400 is about 10954.9714741755. The cubic root of 120011400 is about 493.2580337146.

Adding to 120011400 its reverse (4110021), we get a palindrome (124121421).

The spelling of 120011400 in words is "one hundred twenty million, eleven thousand, four hundred".