1242820920 has 256 divisors, whose sum is σ = 4199040000. Its totient is φ = 291737600.

The previous prime is 1242820889. The next prime is 1242820933. The reversal of 1242820920 is 290282421.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8341006 + ... + 8341154.

It is an arithmetic number, because the mean of its divisors is an integer number (16402500).

Almost surely, 2^1242820920 is an apocalyptic number.

1242820920 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 1242820920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099520000).

1242820920 is an abundant number, since it is smaller than the sum of its proper divisors (2956219080).

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

1242820920 is a wasteful number, since it uses less digits than its factorization.

1242820920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1242820920 is about 35253.6653413514. The cubic root of 1242820920 is about 1075.1511364933.

The spelling of 1242820920 in words is "one billion, two hundred forty-two million, eight hundred twenty thousand, nine hundred twenty".