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2122312120 = 235237132491
BaseRepresentation
bin111111001111111…
…1110100110111000
312110220111121220121
41332133332212320
513321302441440
6550332303024
7103410232615
oct17637764670
95426447817
102122312120
11999a98565
124b2911a74
1327a9007b6
14161c1750c
15c64c334a
hex7e7fe9b8

2122312120 has 64 divisors (see below), whose sum is σ = 5053155840. Its totient is φ = 800553600.

The previous prime is 2122312117. The next prime is 2122312121. The reversal of 2122312120 is 212132212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2122312094 and 2122312103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122312121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49075 + ... + 81565.

It is an arithmetic number, because the mean of its divisors is an integer number (78955560).

Almost surely, 22122312120 is an apocalyptic number.

2122312120 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 2122312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526577920).

2122312120 is an abundant number, since it is smaller than the sum of its proper divisors (2930843720).

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

2122312120 is a wasteful number, since it uses less digits than its factorization.

2122312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32596 (or 32592 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2122312120 is about 46068.5589095209. The cubic root of 2122312120 is about 1285.0985041598.

Adding to 2122312120 its reverse (212132212), we get a palindrome (2334444332).

The spelling of 2122312120 in words is "two billion, one hundred twenty-two million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 71 92 115 142 184 230 284 355 460 568 710 920 1420 1633 2840 3266 6532 8165 13064 16330 32491 32660 64982 65320 129964 162455 259928 324910 649820 747293 1299640 1494586 2306861 2989172 3736465 4613722 5978344 7472930 9227444 11534305 14945860 18454888 23068610 29891720 46137220 53057803 92274440 106115606 212231212 265289015 424462424 530578030 1061156060 2122312120