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21120122021012 = 22723712659230059
BaseRepresentation
bin1001100110101011010010…
…10111101110010010010100
32202210001201121122211222222
410303111221113232102110
510232013002214133022
6112530241120241512
74306610212062500
oct463255127562224
982701647584888
1021120122021012
116802aa230a263
12245127a170298
13ba2807b1a701
1453030dcd1300
152695b2157242
hex1335695ee494

21120122021012 has 72 divisors (see below), whose sum is σ = 44160228655200. Its totient is φ = 8806112271936.

The previous prime is 21120122020999. The next prime is 21120122021017. The reversal of 21120122021012 is 21012022102112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120122021017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91688039 + ... + 91918097.

It is an arithmetic number, because the mean of its divisors is an integer number (613336509100).

Almost surely, 221120122021012 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 21120122021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22080114327600).

21120122021012 is an abundant number, since it is smaller than the sum of its proper divisors (23040106634188).

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

21120122021012 is a wasteful number, since it uses less digits than its factorization.

21120122021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242773 (or 242764 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21120122021012 its reverse (21012022102112), we get a palindrome (42132144123124).

The spelling of 21120122021012 in words is "twenty-one trillion, one hundred twenty billion, one hundred twenty-two million, twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 1036 1813 3626 7252 12659 25318 50636 88613 177226 230059 354452 460118 468383 620291 920236 936766 1240582 1610413 1873532 2481164 3220826 3278681 6441652 6557362 8512183 11272891 13114724 17024366 22545782 22950767 34048732 45091564 45901534 59585281 91803068 119170562 238341124 417096967 834193934 1668387868 2912316881 5824633762 11649267524 20386218167 40772436334 81544872668 107755724597 142703527169 215511449194 285407054338 431022898388 570814108676 754290072179 1508580144358 3017160288716 5280030505253 10560061010506 21120122021012