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22212121001120 = 2551276611653731
BaseRepresentation
bin1010000110011101010011…
…00101001111110010100000
32220122110100220101200210122
411003032221211033302200
510402410410434013440
6115124035120215412
74451526031211441
oct503165145176240
986573326350718
1022212121001120
117094120266616
1225a8a3646a568
13c517950b658b
1456b1029072c8
15287bc54aa7b5
hex1433a994fca0

22212121001120 has 96 divisors (see below), whose sum is σ = 52969379936256. Its totient is φ = 8801547955200.

The previous prime is 22212121001107. The next prime is 22212121001171. The reversal of 22212121001120 is 2110012121222.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12604655 + ... + 14258385.

It is an arithmetic number, because the mean of its divisors is an integer number (551764374336).

Almost surely, 222212121001120 is an apocalyptic number.

22212121001120 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 22212121001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26484689968128).

22212121001120 is an abundant number, since it is smaller than the sum of its proper divisors (30757258935136).

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

22212121001120 is a wasteful number, since it uses less digits than its factorization.

22212121001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654534 (or 1654526 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22212121001120 its reverse (2110012121222), we get a palindrome (24322133122342).

The spelling of 22212121001120 in words is "twenty-two trillion, two hundred twelve billion, one hundred twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 661 1016 1270 1322 2032 2540 2644 3305 4064 5080 5288 6610 10160 10576 13220 20320 21152 26440 52880 83947 105760 167894 335788 419735 671576 839470 1343152 1653731 1678940 2686304 3307462 3357880 6614924 6715760 8268655 13229848 13431520 16537310 26459696 33074620 52919392 66149240 132298480 210023837 264596960 420047674 840095348 1050119185 1093116191 1680190696 2100238370 2186232382 3360381392 4200476740 4372464764 5465580955 6720762784 8400953480 8744929528 10931161910 16801906960 17489859056 21862323820 33603813920 34979718112 43724647640 87449295280 138825756257 174898590560 277651512514 555303025028 694128781285 1110606050056 1388257562570 2221212100112 2776515125140 4442424200224 5553030250280 11106060500560 22212121001120