120419452887552 has 1680 divisors, whose sum is σ = 453218554780992. Its totient is φ = 31667614433280.

The previous prime is 120419452887523. The next prime is 120419452887583. The reversal of 120419452887552 is 255788254914021.

It is a happy number.

120419452887552 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 19 + 45 + 28 + 8 + 7 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 120419452887552.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 135760374853 + ... + 135760375739.

Almost surely, 2^{120419452887552} is an apocalyptic number.

120419452887552 is a gapful number since it is divisible by the number (12) 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 120419452887552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226609277390496).

120419452887552 is an abundant number, since it is smaller than the sum of its proper divisors (332799101893440).

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

120419452887552 is an frugal number, since it uses more digits than its factorization.

120419452887552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 120419452887552 in words is "one hundred twenty trillion, four hundred nineteen billion, four hundred fifty-two million, eight hundred eighty-seven thousand, five hundred fifty-two".