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120011002122 = 231129973731733
BaseRepresentation
bin110111111000100110…
…1101001000100001010
3102110202202212120120110
41233301031221010022
53431240304031442
6131044324135150
711445661454364
oct1576115510412
9373682776513
10120011002122
114699509a190
121b3135374b6
13b41756a0bb
145b469abd34
1531c5e2a69c
hex1bf136910a

120011002122 has 128 divisors (see below), whose sum is σ = 274555733760. Its totient is φ = 34637783040.

The previous prime is 120011002117. The next prime is 120011002123. The reversal of 120011002122 is 221200110021.

It is a junction number, because it is equal to n+sod(n) for n = 120011002098 and 120011002107.

It is not an unprimeable number, because it can be changed into a prime (120011002123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69249568 + ... + 69251300.

It is an arithmetic number, because the mean of its divisors is an integer number (2144966670).

Almost surely, 2120011002122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120011002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137277866880).

120011002122 is an abundant number, since it is smaller than the sum of its proper divisors (154544731638).

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

120011002122 is a wasteful number, since it uses less digits than its factorization.

120011002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120011002122 its reverse (221200110021), we get a palindrome (341211112143).

It can be divided in two parts, 1200110021 and 22, that multiplied together give a palindrome (26402420462).

The spelling of 120011002122 in words is "one hundred twenty billion, eleven million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 97 174 194 291 319 373 582 638 746 957 1067 1119 1733 1914 2134 2238 2813 3201 3466 4103 5199 5626 6402 8206 8439 10398 10817 12309 16878 19063 21634 24618 30943 32451 36181 38126 50257 57189 61886 64902 72362 92829 100514 108543 114378 118987 150771 168101 185658 217086 237974 301542 336202 356961 397991 504303 552827 646409 713922 795982 1008606 1049249 1105654 1193973 1292818 1658481 1849111 1939227 2098498 2387946 3147747 3316962 3698222 3878454 4874929 5547333 6295494 7110499 9749858 11094666 11541739 14220998 14624787 18745861 21331497 23083478 29249574 34625217 37491722 42662994 53624219 56237583 62701673 69250434 107248438 112475166 125403346 160872657 188105019 206204471 321745314 376210038 412408942 618613413 689718403 1237226826 1379436806 1818348517 2069155209 3636697034 4138310418 5455045551 10910091102 20001833687 40003667374 60005501061 120011002122