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122001231020130 = 232571121600435931
BaseRepresentation
bin11011101111010110100000…
…000010011000000001100010
3120222222012111120000012001200
4123233112200002120001202
5111442332010120121010
61111250331454542030
734461204144165210
oct3357264002300142
9528865446005050
10122001231020130
1135967482388700
12118247a5507916
13530c888a26907
14221ac69205cb0
15e187ea749cc0
hex6ef5a0098062

122001231020130 has 144 divisors (see below), whose sum is σ = 398470136605632. Its totient is φ = 25350905131200.

The previous prime is 122001231020069. The next prime is 122001231020171. The reversal of 122001231020130 is 31020132100221.

122001231020130 is a `hidden beast` number, since 1 + 2 + 200 + 1 + 2 + 310 + 20 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 800141736 + ... + 800294195.

It is an arithmetic number, because the mean of its divisors is an integer number (2767153726428).

Almost surely, 2122001231020130 is an apocalyptic number.

122001231020130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122001231020130 is an abundant number, since it is smaller than the sum of its proper divisors (276468905585502).

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

122001231020130 is a wasteful number, since it uses less digits than its factorization.

122001231020130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600435973 (or 1600435959 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122001231020130 its reverse (31020132100221), we get a palindrome (153021363120351).

The spelling of 122001231020130 in words is "one hundred twenty-two trillion, one billion, two hundred thirty-one million, twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 121 126 154 165 198 210 231 242 315 330 363 385 462 495 605 630 693 726 770 847 990 1089 1155 1210 1386 1694 1815 2178 2310 2541 3465 3630 4235 5082 5445 6930 7623 8470 10890 12705 15246 25410 38115 76230 1600435931 3200871862 4801307793 8002179655 9602615586 11203051517 14403923379 16004359310 17604795241 22406103034 24006538965 28807846758 33609154551 35209590482 48013077930 52814385723 56015257585 67218309102 72019616895 88023976205 100827463653 105628771446 112030515170 123233566687 144039233790 158443157169 168045772755 176047952410 193652747651 201654927306 246467133374 264071928615 316886314338 336091545510 369700700061 387305495302 504137318265 528143857230 580958242953 616167833435 739401400122 792215785845 968263738255 1008274636530 1109102100183 1161916485906 1232335666870 1355569233557 1584431571690 1742874728859 1848503500305 1936527476510 2218204200366 2711138467114 2904791214765 3485749457718 3697007000610 4066707700671 5545510500915 5809582429530 6777846167785 8133415401342 8714373644295 11091021001830 12200123102013 13555692335570 17428747288590 20333538503355 24400246204026 40667077006710 61000615510065 122001231020130