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222212002121120 = 255111009912501913
BaseRepresentation
bin110010100001100111000011…
…011100111000010110100000
31002010210021000111100000200002
4302201213003130320112200
5213111210140020333440
62104334441241515132
764543200364211324
oct6241470334702640
91063707014300602
10222212002121120
1164892643162630
1220b0a211aa2aa8
1396cb66a85125b
143cc3192823984
151aa539ddb6115
hexca19c37385a0

222212002121120 has 96 divisors (see below), whose sum is σ = 572757687230400. Its totient is φ = 80796356720640.

The previous prime is 222212002121077. The next prime is 222212002121147. The reversal of 222212002121120 is 21121200212222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222212002121092 and 222212002121101.

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, 11523284 + ... + 24025196.

It is an arithmetic number, because the mean of its divisors is an integer number (5966225908650).

Almost surely, 2222212002121120 is an apocalyptic number.

222212002121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222212002121120 is an abundant number, since it is smaller than the sum of its proper divisors (350545685109280).

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

222212002121120 is a wasteful number, since it uses less digits than its factorization.

222212002121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12512038 (or 12512030 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 222212002121120 its reverse (21121200212222), we get a palindrome (243333202333342).

The spelling of 222212002121120 in words is "two hundred twenty-two trillion, two hundred twelve billion, two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 10099 20198 40396 50495 80792 100990 111089 161584 201980 222178 323168 403960 444356 555445 807920 888712 1110890 1615840 1777424 2221780 3554848 4443560 8887120 12501913 17774240 25003826 50007652 62509565 100015304 125019130 137521043 200030608 250038260 275042086 400061216 500076520 550084172 687605215 1000153040 1100168344 1375210430 2000306080 2200336688 2750420860 4400673376 5500841720 11001683440 22003366880 126256819387 252513638774 505027277548 631284096935 1010054555096 1262568193870 1388825013257 2020109110192 2525136387740 2777650026514 4040218220384 5050272775480 5555300053028 6944125066285 10100545550960 11110600106056 13888250132570 20201091101920 22221200212112 27776500265140 44442400424224 55553000530280 111106001060560 222212002121120