1213749120 has 128 divisors (see below), whose sum is σ = 3880275840. Its totient is φ = 322709504.

The previous prime is 1213749113. The next prime is 1213749133. The reversal of 1213749120 is 219473121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 849847 + ... + 851273.

It is an arithmetic number, because the mean of its divisors is an integer number (30314655).

Almost surely, 2^1213749120 is an apocalyptic number.

1213749120 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 1213749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940137920).

1213749120 is an abundant number, since it is smaller than the sum of its proper divisors (2666526720).

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

1213749120 is a wasteful number, since it uses less digits than its factorization.

1213749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1213749120 is about 34838.9023937322. The cubic root of 1213749120 is about 1066.7016724623.

The spelling of 1213749120 in words is "one billion, two hundred thirteen million, seven hundred forty-nine thousand, one hundred twenty".