2120105616420 has 144 divisors (see below), whose sum is σ = 6526334191104. Its totient is φ = 513861427200.

The previous prime is 2120105616373. The next prime is 2120105616437. The reversal of 2120105616420 is 246165010212.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 39692772 + ... + 39746148.

It is an arithmetic number, because the mean of its divisors is an integer number (45321765216).

Almost surely, 2^{2120105616420} is an apocalyptic number.

2120105616420 is a gapful number since it is divisible by the number (20) 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 2120105616420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263167095552).

2120105616420 is an abundant number, since it is smaller than the sum of its proper divisors (4406228574684).

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

2120105616420 is a wasteful number, since it uses less digits than its factorization.

2120105616420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58882 (or 58869 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 2120105616420 in words is "two trillion, one hundred twenty billion, one hundred five million, six hundred sixteen thousand, four hundred twenty".