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120012211088 = 247113125712227
BaseRepresentation
bin110111111000101001…
…0010000001110010000
3102110202212010222221222
41233301102100032100
53431241111223323
6131044410104212
711446004651150
oct1576122201620
9373685128858
10120012211088
1146995845530
121b313a1b068
13b4178a1473
145b46c04760
1531c60b89c8
hex1bf1490390

120012211088 has 160 divisors (see below), whose sum is σ = 300440199168. Its totient is φ = 45069926400.

The previous prime is 120012211087. The next prime is 120012211133. The reversal of 120012211088 is 880112210021.

It is not an unprimeable number, because it can be changed into a prime (120012211087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9809231 + ... + 9821457.

Almost surely, 2120012211088 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 120012211088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150220099584).

120012211088 is an abundant number, since it is smaller than the sum of its proper divisors (180427988080).

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

120012211088 is a wasteful number, since it uses less digits than its factorization.

120012211088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541 (or 12535 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

The spelling of 120012211088 in words is "one hundred twenty billion, twelve million, two hundred eleven thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 257 308 341 434 496 514 616 682 868 1028 1232 1364 1736 1799 2056 2387 2728 2827 3472 3598 4112 4774 5456 5654 7196 7967 9548 11308 12227 14392 15934 19096 19789 22616 24454 28784 31868 38192 39578 45232 48908 55769 63736 79156 85589 87637 97816 111538 127472 134497 158312 171178 175274 195632 223076 268994 316624 342356 350548 379037 446152 537988 613459 684712 701096 758074 892304 941479 1075976 1226918 1369424 1402192 1516148 1882958 2151952 2453836 2653259 3032296 3142339 3765916 4169407 4907672 5306518 6064592 6284678 7531832 8338814 9815344 10613036 12569356 15063664 16677628 21226072 21996373 25138712 29185849 33355256 34565729 42452144 43992746 50277424 58371698 66710512 69131458 87985492 97412509 116743396 138262916 175970984 194825018 233486792 241960103 276525832 351941968 389650036 466973584 483920206 553051664 681887563 779300072 967840412 1071537599 1363775126 1558600144 1935680824 2143075198 2727550252 3871361648 4286150396 5455100504 7500763193 8572300792 10910201008 15001526386 17144601584 30003052772 60006105544 120012211088