2123217120 has 96 divisors (see below), whose sum is σ = 6723440640. Its totient is φ = 563202560.

The previous prime is 2123217113. The next prime is 2123217121. The reversal of 2123217120 is 217123212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2123217120² = 9016101877322188800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123217121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80101 + ... + 103259.

It is an arithmetic number, because the mean of its divisors is an integer number (70035840).

Almost surely, 2^2123217120 is an apocalyptic number.

2123217120 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 2123217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361720320).

2123217120 is an abundant number, since it is smaller than the sum of its proper divisors (4600223520).

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

2123217120 is a wasteful number, since it uses less digits than its factorization.

2123217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23368 (or 23360 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2123217120 is about 46078.3801798631. The cubic root of 2123217120 is about 1285.2811428432.

The spelling of 2123217120 in words is "two billion, one hundred twenty-three million, two hundred seventeen thousand, one hundred twenty".