2120128220700 has 216 divisors, whose sum is σ = 7595725842432. Its totient is φ = 484539776640.

The previous prime is 2120128220611. The next prime is 2120128220723. The reversal of 2120128220700 is 70228210212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66808237 + ... + 66839963.

Almost surely, 2^{2120128220700} is an apocalyptic number.

2120128220700 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 2120128220700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797862921216).

2120128220700 is an abundant number, since it is smaller than the sum of its proper divisors (5475597621732).

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

2120128220700 is a wasteful number, since it uses less digits than its factorization.

2120128220700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42361 (or 42351 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 2120128220700 in words is "two trillion, one hundred twenty billion, one hundred twenty-eight million, two hundred twenty thousand, seven hundred".