1242120821760 has 2816 divisors, whose sum is σ = 5847442513920. Its totient is φ = 245949530112.

The previous prime is 1242120821741. The next prime is 1242120821771. The reversal of 1242120821760 is 671280212421.

1242120821760 is a `hidden beast` number, since 1 + 2 + 421 + 208 + 21 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23436241894 + ... + 23436241946.

Almost surely, 2^{1242120821760} is an apocalyptic number.

1242120821760 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 1242120821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923721256960).

1242120821760 is an abundant number, since it is smaller than the sum of its proper divisors (4605321692160).

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

1242120821760 is an equidigital number, since it uses as much as digits as its factorization.

1242120821760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1242120821760 in words is "one trillion, two hundred forty-two billion, one hundred twenty million, eight hundred twenty-one thousand, seven hundred sixty".