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2120022120 = 233543410857
BaseRepresentation
bin111111001011100…
…1111100001101000
312110202012021121210
41332113033201220
513320211201440
6550211233120
7103351614336
oct17627174150
95422167553
102120022120
11998773aa7
124b1ba87a0
1327a2ab378
141617bcb56
15c61bea80
hex7e5cf868

2120022120 has 64 divisors (see below), whose sum is σ = 6507990720. Its totient is φ = 552190464.

The previous prime is 2120022067. The next prime is 2120022133. The reversal of 2120022120 is 212200212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2120022096 and 2120022105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200269 + ... + 210588.

It is an arithmetic number, because the mean of its divisors is an integer number (101687355).

Almost surely, 22120022120 is an apocalyptic number.

2120022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120022120 is an abundant number, since it is smaller than the sum of its proper divisors (4387968600).

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

2120022120 is a wasteful number, since it uses less digits than its factorization.

2120022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410914 (or 410910 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2120022120 is about 46043.6979401090. The cubic root of 2120022120 is about 1284.6361256297.

Adding to 2120022120 its reverse (212200212), we get a palindrome (2332222332).

The spelling of 2120022120 in words is "two billion, one hundred twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 410857 821714 1232571 1643428 2054285 2465142 3286856 4108570 4930284 6162855 8217140 9860568 12325710 16434280 17666851 24651420 35333702 49302840 53000553 70667404 88334255 106001106 141334808 176668510 212002212 265002765 353337020 424004424 530005530 706674040 1060011060 2120022120