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2120220001120 = 25513278410503
BaseRepresentation
bin11110110110100110111…
…101011100001101100000
321111200122202222200021011
4132312212331130031200
5234214202310013440
64302003212510304
7306116012440114
oct36664675341540
97450582880234
102120220001120
117481a8a0a011
122a2ab547b394
13124c221b9800
1474895103744
153a24243d9ea
hex1eda6f5c360

2120220001120 has 72 divisors (see below), whose sum is σ = 5423968203696. Its totient is φ = 782850451968.

The previous prime is 2120220001103. The next prime is 2120220001121. The reversal of 2120220001120 is 211000220212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2120220001120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120220001121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39178212 + ... + 39232291.

It is an arithmetic number, because the mean of its divisors is an integer number (75332891718).

Almost surely, 22120220001120 is an apocalyptic number.

2120220001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120220001120 is an abundant number, since it is smaller than the sum of its proper divisors (3303748202576).

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

2120220001120 is a wasteful number, since it uses less digits than its factorization.

2120220001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78410544 (or 78410523 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2120220001120 its reverse (211000220212), we get a palindrome (2331220221332).

The spelling of 2120220001120 in words is "two trillion, one hundred twenty billion, two hundred twenty million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3380 5408 6760 13520 27040 78410503 156821006 313642012 392052515 627284024 784105030 1019336539 1254568048 1568210060 2038673078 2509136096 3136420120 4077346156 5096682695 6272840240 8154692312 10193365390 12545680480 13251375007 16309384624 20386730780 26502750014 32618769248 40773461560 53005500028 66256875035 81546923120 106011000056 132513750070 163093846240 212022000112 265027500140 424044000224 530055000280 1060110000560 2120220001120