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212123020120232 = 231325327071093571
BaseRepresentation
bin110000001110110010111101…
…010000110101000010101000
31000211001202120222202202222012
4300032302331100311002220
5210300410421122321412
62031051545315415052
762452245120154634
oct6016627520650250
91024052528682865
10212123020120232
116165295a905301
121b95aa422b4488
139149165773400
143a54b47aabdc4
15197cc17180c22
hexc0ecbd4350a8

212123020120232 has 96 divisors (see below), whose sum is σ = 438967280832480. Its totient is φ = 96020135228160.

The previous prime is 212123020120169. The next prime is 212123020120241. The reversal of 212123020120232 is 232021020321212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212123020120198 and 212123020120207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193426007 + ... + 194519577.

It is an arithmetic number, because the mean of its divisors is an integer number (4572575842005).

Almost surely, 2212123020120232 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 212123020120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219483640416240).

212123020120232 is an abundant number, since it is smaller than the sum of its proper divisors (226844260712248).

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

212123020120232 is a wasteful number, since it uses less digits than its factorization.

212123020120232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096363 (or 1096346 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 212123020120232 its reverse (232021020321212), we get a palindrome (444144040441444).

The spelling of 212123020120232 in words is "two hundred twelve trillion, one hundred twenty-three billion, twenty million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 53 104 106 169 212 338 424 676 689 1352 1378 2707 2756 5414 5512 8957 10828 17914 21656 35191 35828 70382 71656 140764 143471 281528 286942 457483 573884 914966 1093571 1147768 1829932 1865123 2187142 3659864 3730246 4374284 7460492 8748568 14216423 14920984 24246599 28432846 48493198 56865692 57959263 96986396 113731384 115918526 184813499 193972792 231837052 369626998 463674104 739253996 753470419 1478507992 1506940838 2960296697 3013881676 5920593394 6027763352 9795115447 11841186788 19590230894 23682373576 38483857061 39180461788 76967714122 78360923576 153935428244 156895724941 307870856488 313791449882 500290141793 627582899764 1000580283586 1255165799528 2001160567172 2039644424233 4002321134344 4079288848466 8158577696932 16317155393864 26515377515029 53030755030058 106061510060116 212123020120232