3890210122120 has 256 divisors, whose sum is σ = 10301245194240. Its totient is φ = 1294492243968.

The previous prime is 3890210122087. The next prime is 3890210122147. The reversal of 3890210122120 is 212210120983.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1951935844 + ... + 1951937836.

It is an arithmetic number, because the mean of its divisors is an integer number (40239239040).

Almost surely, 2^{3890210122120} 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 3890210122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150622597120).

3890210122120 is an abundant number, since it is smaller than the sum of its proper divisors (6411035072120).

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

3890210122120 is a wasteful number, since it uses less digits than its factorization.

3890210122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 3890210122120 in words is "three trillion, eight hundred ninety billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty".