1335121400 has 48 divisors (see below), whose sum is σ = 3141595800. Its totient is φ = 527607680.

The previous prime is 1335121397. The next prime is 1335121421. The reversal of 1335121400 is 41215331.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 23615 + ... + 56814.

Almost surely, 2^1335121400 is an apocalyptic number.

1335121400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1335121400 is an abundant number, since it is smaller than the sum of its proper divisors (1806474400).

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

1335121400 is a wasteful number, since it uses less digits than its factorization.

1335121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80528 (or 80519 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1335121400 is about 36539.3130750976. The cubic root of 1335121400 is about 1101.1342020314.

Adding to 1335121400 its reverse (41215331), we get a palindrome (1376336731).

The spelling of 1335121400 in words is "one billion, three hundred thirty-five million, one hundred twenty-one thousand, four hundred".