1202106290560 has 384 divisors, whose sum is σ = 3394379247840. Its totient is φ = 405847572480.

The previous prime is 1202106290513. The next prime is 1202106290657. The reversal of 1202106290560 is 650926012021.

It is a happy number.

It is a super-2 number, since 2×1202106290560² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 1095811932 + ... + 1095813028.

Almost surely, 2^{1202106290560} is an apocalyptic number.

1202106290560 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 1202106290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697189623920).

1202106290560 is an abundant number, since it is smaller than the sum of its proper divisors (2192272957280).

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

1202106290560 is a wasteful number, since it uses less digits than its factorization.

1202106290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 1202106290560 in words is "one trillion, two hundred two billion, one hundred six million, two hundred ninety thousand, five hundred sixty".