Search a number
-
+
122100100021200 = 24352714535726193
BaseRepresentation
bin11011110000110010100101…
…000101101011101111010000
3121000022122200220110211110010
4123300302211011223233100
5112000442001101134300
61111404002300434520
734501304205631560
oct3360624505535720
9530278626424403
10122100100021200
11359a53a8356544
121183b998548a40
135318cb4120b02
142221967d78da0
15e1b185528a50
hex6f0ca516bbd0

122100100021200 has 120 divisors (see below), whose sum is σ = 447002651917888. Its totient is φ = 27908594288640.

The previous prime is 122100100021199. The next prime is 122100100021201. The reversal of 122100100021200 is 2120001001221.

122100100021200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122100100021199) and next prime (122100100021201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100100021201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7267854697 + ... + 7267871496.

Almost surely, 2122100100021200 is an apocalyptic number.

122100100021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100100021200 is an abundant number, since it is smaller than the sum of its proper divisors (324902551896688).

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

122100100021200 is a wasteful number, since it uses less digits than its factorization.

122100100021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14535726221 (or 14535726210 counting only the distinct ones).

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

Adding to 122100100021200 its reverse (2120001001221), we get a palindrome (124220101022421).

The spelling of 122100100021200 in words is "one hundred twenty-two trillion, one hundred billion, one hundred million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 14535726193 29071452386 43607178579 58142904772 72678630965 87214357158 101750083351 116285809544 145357261930 174428714316 203500166702 218035892895 232571619088 290714523860 305250250053 348857428632 363393154825 407000333404 436071785790 508750416755 581429047720 610500500106 697714857264 726786309650 814000666808 872143571580 1017500833510 1090179464475 1162858095440 1221001000212 1453572619300 1526251250265 1628001333616 1744287143160 2035001667020 2180358928950 2442002000424 2543752083775 2907145238600 3052502500530 3488574286320 4070003334040 4360717857900 4884004000848 5087504167550 5814290477200 6105005001060 7631256251325 8140006668080 8721435715800 10175008335100 12210010002120 15262512502650 17442871431600 20350016670200 24420020004240 30525025005300 40700033340400 61050050010600 122100100021200