1242909601920 has 384 divisors, whose sum is σ = 5120664220800. Its totient is φ = 284093429760.

The previous prime is 1242909601897. The next prime is 1242909601931. The reversal of 1242909601920 is 291069092421.

1242909601920 is a `hidden beast` number, since 12 + 4 + 2 + 9 + 0 + 9 + 601 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112765 + ... + 1580675.

It is an arithmetic number, because the mean of its divisors is an integer number (13335063075).

Almost surely, 2^{1242909601920} is an apocalyptic number.

1242909601920 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 1242909601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560332110400).

1242909601920 is an abundant number, since it is smaller than the sum of its proper divisors (3877754618880).

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

1242909601920 is a wasteful number, since it uses less digits than its factorization.

1242909601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467953 (or 1467928 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1242909601920 in words is "one trillion, two hundred forty-two billion, nine hundred nine million, six hundred one thousand, nine hundred twenty".