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122020021021220 = 225719936431202239
BaseRepresentation
bin11011101111101000000000…
…000000100010101000100100
3121000001000000001201010211222
4123233220000000202220210
5111443134000340134340
61111303120201515512
734462440604440410
oct3357500000425044
9530030001633758
10122020021021220
11359744448a1623
121182836a1a2b98
135311591818b5a
14221bb2c917d40
15e1904a1528b5
hex6efa00022a24

122020021021220 has 96 divisors (see below), whose sum is σ = 294400684032000. Its totient is φ = 41613746765184.

The previous prime is 122020021021201. The next prime is 122020021021229. The reversal of 122020021021220 is 22120120020221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122020021021229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100892861 + ... + 102095099.

It is an arithmetic number, because the mean of its divisors is an integer number (3066673792000).

Almost surely, 2122020021021220 is an apocalyptic number.

122020021021220 is a gapful number since it is divisible by the number (10) 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 122020021021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147200342016000).

122020021021220 is an abundant number, since it is smaller than the sum of its proper divisors (172380663010780).

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

122020021021220 is a wasteful number, since it uses less digits than its factorization.

122020021021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206097 (or 1206095 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122020021021220 its reverse (22120120020221), we get a palindrome (144140141041441).

The spelling of 122020021021220 in words is "one hundred twenty-two trillion, twenty billion, twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 796 995 1393 1990 2786 3643 3980 5572 6965 7286 13930 14572 18215 25501 27860 36430 51002 72860 102004 127505 255010 510020 724957 1202239 1449914 2404478 2899828 3624785 4808956 5074699 6011195 7249570 8415673 10149398 12022390 14499140 16831346 20298796 24044780 25373495 33662692 42078365 50746990 84156730 101493980 168313460 239245561 478491122 956982244 1196227805 1674718927 2392455610 3349437854 4379756677 4784911220 6698875708 8373594635 8759513354 16747189270 17519026708 21898783385 30658296739 33494378540 43797566770 61316593478 87595133540 122633186956 153291483695 306582967390 613165934780 871571578723 1743143157446 3486286314892 4357857893615 6101001051061 8715715787230 12202002102122 17431431574460 24404004204244 30505005255305 61010010510610 122020021021220