1213013040 has 160 divisors (see below), whose sum is σ = 3844843200. Its totient is φ = 316293120.

The previous prime is 1213012979. The next prime is 1213013059. The reversal of 1213013040 is 403103121.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 2327980 + ... + 2328500.

It is an arithmetic number, because the mean of its divisors is an integer number (24030270).

Almost surely, 2^1213013040 is an apocalyptic number.

1213013040 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 1213013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922421600).

1213013040 is an abundant number, since it is smaller than the sum of its proper divisors (2631830160).

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

1213013040 is a wasteful number, since it uses less digits than its factorization.

1213013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1213013040 is about 34828.3367389257. The cubic root of 1213013040 is about 1066.4859945731.

Adding to 1213013040 its reverse (403103121), we get a palindrome (1616116161).

The spelling of 1213013040 in words is "one billion, two hundred thirteen million, thirteen thousand, forty".