1213615120 has 80 divisors (see below), whose sum is σ = 2982934080. Its totient is φ = 457920000.

The previous prime is 1213615103. The next prime is 1213615189. The reversal of 1213615120 is 215163121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1213615120² = 2945723318985228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1213615091 and 1213615100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379930 + ... + 383110.

It is an arithmetic number, because the mean of its divisors is an integer number (37286676).

Almost surely, 2^1213615120 is an apocalyptic number.

1213615120 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 1213615120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491467040).

1213615120 is an abundant number, since it is smaller than the sum of its proper divisors (1769318960).

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

1213615120 is a wasteful number, since it uses less digits than its factorization.

1213615120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1213615120 is about 34836.9792031399. The cubic root of 1213615120 is about 1066.6624157817.

Adding to 1213615120 its reverse (215163121), we get a palindrome (1428778241).

The spelling of 1213615120 in words is "one billion, two hundred thirteen million, six hundred fifteen thousand, one hundred twenty".