1242128160 has 288 divisors, whose sum is σ = 5217488640. Its totient is φ = 262047744.

The previous prime is 1242128113. The next prime is 1242128161. The reversal of 1242128160 is 618212421.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242128161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126301 + ... + 135779.

It is an arithmetic number, because the mean of its divisors is an integer number (18116280).

Almost surely, 2^1242128160 is an apocalyptic number.

1242128160 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 1242128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608744320).

1242128160 is an abundant number, since it is smaller than the sum of its proper divisors (3975360480).

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

1242128160 is a wasteful number, since it uses less digits than its factorization.

1242128160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9520 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1242128160 is about 35243.8386104579. The cubic root of 1242128160 is about 1074.9513329329.

The spelling of 1242128160 in words is "one billion, two hundred forty-two million, one hundred twenty-eight thousand, one hundred sixty".