Search a number
-
+
122330000120020 = 225711372146893649
BaseRepresentation
bin11011110100001000101100…
…001100111101100011010100
3121001010122010001001220122221
4123310020230030331203110
5112013223320012320040
61112101343133432124
734524023304343420
oct3364105414754324
9531118101056587
10122330000120020
1135a83952a27510
121187845963b644
135334891bc7544
14222cb370dbb80
15e2213d94174a
hex6f422c33d8d4

122330000120020 has 96 divisors (see below), whose sum is σ = 328938457478400. Its totient is φ = 37098322237440.

The previous prime is 122330000120011. The next prime is 122330000120087. The reversal of 122330000120020 is 20021000033221.

It is a junction number, because it is equal to n+sod(n) for n = 122330000119976 and 122330000120003.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1073389845 + ... + 1073503804.

It is an arithmetic number, because the mean of its divisors is an integer number (3426442265400).

Almost surely, 2122330000120020 is an apocalyptic number.

122330000120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122330000120020 is an abundant number, since it is smaller than the sum of its proper divisors (206608457358380).

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

122330000120020 is a wasteful number, since it uses less digits than its factorization.

122330000120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146893713 (or 2146893711 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 122330000120020 its reverse (20021000033221), we get a palindrome (142351000153241).

The spelling of 122330000120020 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 55 70 74 77 110 140 148 154 185 220 259 308 370 385 407 518 740 770 814 1036 1295 1540 1628 2035 2590 2849 4070 5180 5698 8140 11396 14245 28490 56980 2146893649 4293787298 8587574596 10734468245 15028255543 21468936490 23615830139 30056511086 42937872980 47231660278 60113022172 75141277715 79435065013 94463320556 118079150695 150282555430 158870130026 165310810973 236158301390 300565110860 317740260052 330621621946 397175325065 472316602780 556045455091 661243243892 794350650130 826554054865 873785715143 1112090910182 1588701300260 1653108109730 1747571430286 2224181820364 2780227275455 3306216219460 3495142860572 4368928575715 5560454550910 6116500006001 8737857151430 11120909101820 12233000012002 17475714302860 24466000024004 30582500030005 61165000060010 122330000120020