1204120400 has 240 divisors, whose sum is σ = 3454433664. Its totient is φ = 394813440.

The previous prime is 1204120391. The next prime is 1204120447. The reversal of 1204120400 is 40214021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8789132 + ... + 8789268.

Almost surely, 2^1204120400 is an apocalyptic number.

1204120400 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 1204120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727216832).

1204120400 is an abundant number, since it is smaller than the sum of its proper divisors (2250313264).

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

1204120400 is a wasteful number, since it uses less digits than its factorization.

1204120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1204120400 is about 34700.4380375810. The cubic root of 1204120400 is about 1063.8734515105.

Adding to 1204120400 its reverse (40214021), we get a palindrome (1244334421).

It can be divided in two parts, 1204 and 120400, that multiplied together give a square (144961600 = 12040²).

The spelling of 1204120400 in words is "one billion, two hundred four million, one hundred twenty thousand, four hundred".