1242886075200 has 2688 divisors, whose sum is σ = 6182689996800. Its totient is φ = 234897408000.

The previous prime is 1242886075181. The next prime is 1242886075201. The reversal of 1242886075200 is 25706882421.

1242886075200 is a `hidden beast` number, since 1 + 2 + 42 + 8 + 86 + 0 + 7 + 520 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242886075201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1753012446 + ... + 1753013154.

Almost surely, 2^{1242886075200} is an apocalyptic number.

1242886075200 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 1242886075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091344998400).

1242886075200 is an abundant number, since it is smaller than the sum of its proper divisors (4939803921600).

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

1242886075200 is a wasteful number, since it uses less digits than its factorization.

1242886075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1242886075200 in words is "one trillion, two hundred forty-two billion, eight hundred eighty-six million, seventy-five thousand, two hundred".