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120020111022 = 23729833593307
BaseRepresentation
bin110111111000111000…
…0011000111010101110
3102110210102000100122010
41233301300120322232
53431300122023042
6131045251302050
711446132053060
oct1576160307256
9373712010563
10120020111022
114699a2508a9
121b3165aa926
13b419409196
145b47c9d730
1531c6b2959c
hex1bf1c18eae

120020111022 has 128 divisors (see below), whose sum is σ = 288097689600. Its totient is φ = 32609114496.

The previous prime is 120020110981. The next prime is 120020111053. The reversal of 120020111022 is 220111020021.

It is a junction number, because it is equal to n+sod(n) for n = 120020110989 and 120020111007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36291093 + ... + 36294399.

It is an arithmetic number, because the mean of its divisors is an integer number (2250763200).

Almost surely, 2120020111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120020111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144048844800).

120020111022 is an abundant number, since it is smaller than the sum of its proper divisors (168077578578).

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

120020111022 is a wasteful number, since it uses less digits than its factorization.

120020111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790.

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

Adding to 120020111022 its reverse (220111020021), we get a palindrome (340131131043).

The spelling of 120020111022 in words is "one hundred twenty billion, twenty million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 83 87 166 174 203 249 359 406 498 581 609 718 1077 1162 1218 1743 2154 2407 2513 3307 3486 4814 5026 6614 7221 7539 9921 10411 14442 15078 16849 19842 20822 23149 29797 31233 33698 46298 50547 59594 62466 69447 72877 89391 95903 101094 138894 145754 178782 191806 208579 218631 274481 287709 417158 437262 548962 575418 625737 671321 823443 864113 1187213 1251474 1342642 1646886 1728226 1921367 2013963 2374426 2592339 3561639 3842734 4027926 5184678 5764101 6048791 7123278 7959949 8310491 11528202 12097582 15919898 16620982 18146373 23879847 24931473 34429177 36292746 47759694 49862946 55719643 68858354 98538679 103287531 111439286 167158929 197077358 206575062 241004239 295616037 334317858 482008478 591232074 689770753 723012717 1379541506 1446025434 2069312259 2857621691 4138624518 5715243382 8572865073 17145730146 20003351837 40006703674 60010055511 120020111022