Search a number
-
+
2122112110120 = 23572287733919
BaseRepresentation
bin11110111000010111101…
…111010000111000101000
321111212112122022202212021
4132320113233100320220
5234232041200010440
64302515043154224
7306213626212642
oct36702757207050
97455478282767
102122112110120
11748a89a65562
122a3343075974
131251641b9732
14749d4515892
153a3035dd84a
hex1ee17bd0e28

2122112110120 has 32 divisors (see below), whose sum is σ = 4774824806400. Its totient is φ = 848831944768.

The previous prime is 2122112110093. The next prime is 2122112110133. The reversal of 2122112110120 is 210112112212.

It is a junction number, because it is equal to n+sod(n) for n = 2122112110094 and 2122112110103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2524521 + ... + 3258439.

It is an arithmetic number, because the mean of its divisors is an integer number (149213275200).

Almost surely, 22122112110120 is an apocalyptic number.

2122112110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122112110120 is an abundant number, since it is smaller than the sum of its proper divisors (2652712696280).

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

2122112110120 is a wasteful number, since it uses less digits than its factorization.

2122112110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806217 (or 806213 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2122112110120 its reverse (210112112212), we get a palindrome (2332224222332).

The spelling of 2122112110120 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 72287 144574 289148 361435 578296 722870 733919 1445740 1467838 2891480 2935676 3669595 5871352 7339190 14678380 29356760 53052802753 106105605506 212211211012 265264013765 424422422024 530528027530 1061056055060 2122112110120