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2120022012200 = 2352317238913997
BaseRepresentation
bin11110110110011011001…
…010001011000100101000
321111200010222102210112012
4132312123022023010220
5234213301113342300
64301531421135052
7306111056530001
oct36663312130450
97450128383465
102120022012200
11748107180004
122a2a5b0ba488
13124bc01879c1
1474876ac61a8
153a22ed80435
hex1ed9b28b128

2120022012200 has 96 divisors (see below), whose sum is σ = 4947023381400. Its totient is φ = 844919485440.

The previous prime is 2120022012169. The next prime is 2120022012211. The reversal of 2120022012200 is 22102200212.

It can be written as a sum of positive squares in 12 ways, for example, as 63052214404 + 2056969797796 = 251102^2 + 1434214^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151455602 + ... + 151469598.

Almost surely, 22120022012200 is an apocalyptic number.

2120022012200 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 2120022012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473511690700).

2120022012200 is an abundant number, since it is smaller than the sum of its proper divisors (2827001369200).

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

2120022012200 is a wasteful number, since it uses less digits than its factorization.

2120022012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16719 (or 16710 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2120022012200 its reverse (22102200212), we get a palindrome (2142124212412).

The spelling of 2120022012200 in words is "two trillion, one hundred twenty billion, twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 317 634 1268 1585 2389 2536 3170 4778 6340 7925 9556 11945 12680 13997 15850 19112 23890 27994 31700 47780 55988 59725 63400 69985 95560 111976 119450 139970 238900 279940 349925 477800 559880 699850 757313 1399700 1514626 2799400 3029252 3786565 4437049 6058504 7573130 8874098 15146260 17748196 18932825 22185245 30292520 33438833 35496392 37865650 44370490 66877666 75731300 88740980 110926225 133755332 151462600 167194165 177481960 221852450 267510664 334388330 443704900 668776660 835970825 887409800 1337553320 1671941650 3343883300 6687766600 10600110061 21200220122 42400440244 53000550305 84800880488 106001100610 212002201220 265002751525 424004402440 530005503050 1060011006100 2120022012200