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2120312012 = 22713172771237
BaseRepresentation
bin111111001100001…
…0110010011001100
312110202202000021112
41332120112103030
513320244441022
6550221351152
7103354232450
oct17630262314
95422660245
102120312012
11998951885
124b21084b8
1327a3802c0
14161856660
15c622a8e2
hex7e6164cc

2120312012 has 96 divisors (see below), whose sum is σ = 4856842368. Its totient is φ = 785977344.

The previous prime is 2120312009. The next prime is 2120312057. The reversal of 2120312012 is 2102130212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1713458 + ... + 1714694.

It is an arithmetic number, because the mean of its divisors is an integer number (50592108).

Almost surely, 22120312012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428421184).

2120312012 is an abundant number, since it is smaller than the sum of its proper divisors (2736530356).

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

2120312012 is a wasteful number, since it uses less digits than its factorization.

2120312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2120312012 is about 46046.8458420335. The cubic root of 2120312012 is about 1284.6946767110.

Adding to 2120312012 its reverse (2102130212), we get a palindrome (4222442224).

The spelling of 2120312012 in words is "two billion, one hundred twenty million, three hundred twelve thousand, twelve".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 277 364 442 476 554 884 1108 1237 1547 1939 2474 3094 3601 3878 4709 4948 6188 7202 7756 8659 9418 14404 16081 17318 18836 21029 25207 32162 32963 34636 42058 50414 61217 64324 65926 84116 100828 112567 122434 131852 147203 225134 244868 273377 294406 342649 428519 450268 546754 588812 685298 857038 1093508 1370596 1714076 1913639 2398543 3827278 4454437 4797086 5825033 7654556 8908874 9594172 11650066 17817748 23300132 31181059 40775231 62362118 75725429 81550462 124724236 151450858 163100924 302901716 530078003 1060156006 2120312012