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20121300200220 = 22352333914299809
BaseRepresentation
bin1001001001100110110101…
…11100110110101100011100
32122020120121000012010112220
410210303122330312230130
510114131410322401340
6110443333034225340
74144500401510322
oct444633274665434
978216530163486
1020121300200220
11645843944689a
12230b786885250
13b2c57997623b
144d7c3a137d12
1524d60406aed0
hex124cdaf36b1c

20121300200220 has 96 divisors (see below), whose sum is σ = 58806540656640. Its totient is φ = 5130874890240.

The previous prime is 20121300200219. The next prime is 20121300200249. The reversal of 20121300200220 is 2200200312102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20121300200220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2529676 + ... + 6829484.

It is an arithmetic number, because the mean of its divisors is an integer number (612568131840).

Almost surely, 220121300200220 is an apocalyptic number.

20121300200220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121300200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29403270328320).

20121300200220 is an abundant number, since it is smaller than the sum of its proper divisors (38685240456420).

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

20121300200220 is a wasteful number, since it uses less digits than its factorization.

20121300200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303235 (or 4303233 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20121300200220 its reverse (2200200312102), we get a palindrome (22321500512322).

The spelling of 20121300200220 in words is "twenty trillion, one hundred twenty-one billion, three hundred million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 3391 6782 10173 13564 16955 20346 33910 40692 50865 67820 77993 101730 155986 203460 233979 311972 389965 467958 779930 935916 1169895 1559860 2339790 4299809 4679580 8599618 12899427 17199236 21499045 25798854 42998090 51597708 64497135 85996180 98895607 128994270 197791214 257988540 296686821 395582428 494478035 593373642 988956070 1186747284 1483434105 1977912140 2966868210 5933736420 14580652319 29161304638 43741956957 58322609276 72903261595 87483913914 145806523190 174967827828 218709784785 291613046380 335355003337 437419569570 670710006674 874839139140 1006065010011 1341420013348 1676775016685 2012130020022 3353550033370 4024260040044 5030325050055 6707100066740 10060650100110 20121300200220