1210146776552 has 192 divisors, whose sum is σ = 2843062272000. Its totient is φ = 471693559680.

The previous prime is 1210146776549. The next prime is 1210146776561. The reversal of 1210146776552 is 2556776410121.

It is a junction number, because it is equal to n+sod(n) for n = 1210146776497 and 1210146776506.

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, 129853349 + ... + 129862667.

It is an arithmetic number, because the mean of its divisors is an integer number (14807616000).

Almost surely, 2^{1210146776552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210146776552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421531136000).

1210146776552 is an abundant number, since it is smaller than the sum of its proper divisors (1632915495448).

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

1210146776552 is a wasteful number, since it uses less digits than its factorization.

1210146776552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9540 (or 9505 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 1210146776552 in words is "one trillion, two hundred ten billion, one hundred forty-six million, seven hundred seventy-six thousand, five hundred fifty-two".