1242915120 has 120 divisors (see below), whose sum is σ = 4180509216. Its totient is φ = 330937344.

The previous prime is 1242915109. The next prime is 1242915131. The reversal of 1242915120 is 215192421.

1242915120 is a `hidden beast` number, since 124 + 29 + 1 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1242915109) and next prime (1242915131).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1242915120² = 3089675991049228800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 858237 + ... + 859683.

Almost surely, 2^1242915120 is an apocalyptic number.

1242915120 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 1242915120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090254608).

1242915120 is an abundant number, since it is smaller than the sum of its proper divisors (2937594096).

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

1242915120 is a wasteful number, since it uses less digits than its factorization.

1242915120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1242915120 is about 35255.0013473266. The cubic root of 1242915120 is about 1075.1782996125.

The spelling of 1242915120 in words is "one billion, two hundred forty-two million, nine hundred fifteen thousand, one hundred twenty".