1202412400 has 120 divisors (see below), whose sum is σ = 3445208064. Its totient is φ = 394310400.

The previous prime is 1202412353. The next prime is 1202412427. The reversal of 1202412400 is 42142021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55065 + ... + 73735.

Almost surely, 2^1202412400 is an apocalyptic number.

1202412400 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 1202412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722604032).

1202412400 is an abundant number, since it is smaller than the sum of its proper divisors (2242795664).

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

1202412400 is a wasteful number, since it uses less digits than its factorization.

1202412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18719 (or 18708 counting only the distinct ones).

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

The square root of 1202412400 is about 34675.8186637316. The cubic root of 1202412400 is about 1063.3701918437.

Adding to 1202412400 its reverse (42142021), we get a palindrome (1244554421).

The spelling of 1202412400 in words is "one billion, two hundred two million, four hundred twelve thousand, four hundred".