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2122110031200 = 253521651953527
BaseRepresentation
bin11110111000010111100…
…111010101010101100000
321111212112111102011010020
4132320113213111111200
5234232040131444300
64302514530433440
7306213602433645
oct36702747252540
97455474364106
102122110031200
11748a88875645
122a3342432880
1312516393c3c3
14749d4133dcc
153a30332c8a0
hex1ee179d5560

2122110031200 has 144 divisors (see below), whose sum is σ = 6908015358720. Its totient is φ = 565851179520.

The previous prime is 2122110031193. The next prime is 2122110031303. The reversal of 2122110031200 is 21300112212.

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 2122110031200.

It is a congruent number.

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, 39618837 + ... + 39672363.

It is an arithmetic number, because the mean of its divisors is an integer number (47972328880).

Almost surely, 22122110031200 is an apocalyptic number.

2122110031200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122110031200 is an abundant number, since it is smaller than the sum of its proper divisors (4785905327520).

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

2122110031200 is a wasteful number, since it uses less digits than its factorization.

2122110031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70069 (or 70056 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2122110031200 its reverse (21300112212), we get a palindrome (2143410143412).

The spelling of 2122110031200 in words is "two trillion, one hundred twenty-two billion, one hundred ten million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 16519 33038 49557 53527 66076 82595 99114 107054 132152 160581 165190 198228 214108 247785 264304 267635 321162 330380 396456 412975 428216 495570 528608 535270 642324 660760 792912 802905 825950 856432 991140 1070540 1238925 1284648 1321520 1338175 1585824 1605810 1651900 1712864 1982280 2141080 2477850 2569296 2643040 2676350 3211620 3303800 3964560 4014525 4282160 4955700 5138592 5352700 6423240 6607600 7929120 8029050 8564320 9911400 10705400 12846480 13215200 16058100 19822800 21410800 25692960 32116200 39645600 42821600 64232400 128464800 884212513 1768425026 2652637539 3536850052 4421062565 5305275078 7073700104 8842125130 10610550156 13263187695 14147400208 17684250260 21221100312 22105312825 26526375390 28294800416 35368500520 42442200624 44210625650 53052750780 66315938475 70737001040 84884401248 88421251300 106105501560 132631876950 141474002080 176842502600 212211003120 265263753900 353685005200 424422006240 530527507800 707370010400 1061055015600 2122110031200