1202000400 has 180 divisors, whose sum is σ = 4192101108. Its totient is φ = 318935040.

The previous prime is 1202000347. The next prime is 1202000411. The reversal of 1202000400 is 40002021.

It can be written as a sum of positive squares in 6 ways, for example, as 17539344 + 1184461056 = 4188^2 + 34416^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 838084 + ... + 839516.

Almost surely, 2^1202000400 is an apocalyptic number.

1202000400 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 1202000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096050554).

1202000400 is an abundant number, since it is smaller than the sum of its proper divisors (2990100708).

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

1202000400 is a wasteful number, since it uses less digits than its factorization.

1202000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1202000400 is about 34669.8774154164. The cubic root of 1202000400 is about 1063.2487253188.

Adding to 1202000400 its reverse (40002021), we get a palindrome (1242002421).

The spelling of 1202000400 in words is "one billion, two hundred two million, four hundred", and thus it is an aban number.