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2120011312320 = 2632511531262633
BaseRepresentation
bin11110110110011010100…
…001010110110011000000
321111200010020022012001100
4132312122201112303000
5234213240343443240
64301530355534400
7306110566554006
oct36663241266300
97450106265040
102120011312320
11748101132030
122a2a575ba400
13124bbabac705
14748754dca76
153a22de69e30
hex1ed9a856cc0

2120011312320 has 336 divisors, whose sum is σ = 8104958757792. Its totient is φ = 504244715520.

The previous prime is 2120011312291. The next prime is 2120011312361. The reversal of 2120011312320 is 232131100212.

2120011312320 is a `hidden beast` number, since 2 + 1 + 20 + 0 + 11 + 312 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120011312293 and 2120011312302.

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, 1047724 + ... + 2310356.

Almost surely, 22120011312320 is an apocalyptic number.

2120011312320 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 2120011312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052479378896).

2120011312320 is an abundant number, since it is smaller than the sum of its proper divisors (5984947445472).

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

2120011312320 is a wasteful number, since it uses less digits than its factorization.

2120011312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262720 (or 1262707 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2120011312320 its reverse (232131100212), we get a palindrome (2352142412532).

The spelling of 2120011312320 in words is "two trillion, one hundred twenty billion, eleven million, three hundred twelve thousand, three hundred twenty".