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2022012121200 = 243521692199581
BaseRepresentation
bin11101011011001001010…
…100000111000001110000
321011022011111112110121020
4131123021110013001300
5231112040100334300
64144522145055440
7266041226306361
oct35331124070160
97138144473536
102022012121200
1170a592146295
12287a67927580
131188a0a6b566
146dc1a0a7b68
15378e57028a0
hex1d6c9507070

2022012121200 has 120 divisors (see below), whose sum is σ = 6477626665776. Its totient is φ = 539165952000.

The previous prime is 2022012121133. The next prime is 2022012121219. The reversal of 2022012121200 is 21212102202.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2022012121200.

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, 20255410 + ... + 20354990.

Almost surely, 22022012121200 is an apocalyptic number.

2022012121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022012121200 is an abundant number, since it is smaller than the sum of its proper divisors (4455614544576).

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

2022012121200 is a wasteful number, since it uses less digits than its factorization.

2022012121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116523 (or 116512 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2022012121200 its reverse (21212102202), we get a palindrome (2043224223402).

The spelling of 2022012121200 in words is "two trillion, twenty-two billion, twelve million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 16921 33842 50763 67684 84605 99581 101526 135368 169210 199162 203052 253815 270736 298743 338420 398324 406104 423025 497905 507630 597486 676840 796648 812208 846050 995810 1015260 1194972 1269075 1353680 1493715 1593296 1692100 1991620 2030520 2389944 2489525 2538150 2987430 3384200 3983240 4061040 4779888 4979050 5076300 5974860 6768400 7468575 7966480 9958100 10152600 11949720 14937150 19916200 20305200 23899440 29874300 39832400 59748600 119497200 1685010101 3370020202 5055030303 6740040404 8425050505 10110060606 13480080808 16850101010 20220121212 25275151515 26960161616 33700202020 40440242424 42125252525 50550303030 67400404040 80880484848 84250505050 101100606060 126375757575 134800808080 168501010100 202201212120 252751515150 337002020200 404402424240 505503030300 674004040400 1011006060600 2022012121200