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121222112020100 = 225271316779767133
BaseRepresentation
bin11011100100000000111000…
…111011010000011010000100
3120220012201110102011011002022
4123210000320323100122010
5111342100341134120400
61105452400334502312
734351002641023130
oct3344007073203204
9526181412134068
10121222112020100
1135697010a88283
12117197a8064998
135284271b28330
1421d12781783c0
15e033ea6eab85
hex6e4038ed0684

121222112020100 has 144 divisors (see below), whose sum is σ = 325694951355648. Its totient is φ = 38135070466560.

The previous prime is 121222112020081. The next prime is 121222112020103. The reversal of 121222112020100 is 1020211222121.

It is a super-2 number, since 2×1212221120201002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121222112020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38363867 + ... + 41403266.

Almost surely, 2121222112020100 is an apocalyptic number.

121222112020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121222112020100 is an abundant number, since it is smaller than the sum of its proper divisors (204472839335548).

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

121222112020100 is a wasteful number, since it uses less digits than its factorization.

121222112020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79767334 (or 79767327 counting only the distinct ones).

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

Adding to 121222112020100 its reverse (1020211222121), we get a palindrome (122242323242221).

The spelling of 121222112020100 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred twelve million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 167 175 182 260 325 334 350 364 455 650 668 700 835 910 1169 1300 1670 1820 2171 2275 2338 3340 4175 4342 4550 4676 5845 8350 8684 9100 10855 11690 15197 16700 21710 23380 29225 30394 43420 54275 58450 60788 75985 108550 116900 151970 217100 303940 379925 759850 1519700 79767133 159534266 319068532 398835665 558369931 797671330 1036972729 1116739862 1595342660 1994178325 2073945458 2233479724 2791849655 3988356650 4147890916 5184863645 5583699310 7258809103 7976713300 10369727290 11167398620 13321111211 13959248275 14517618206 20739454580 25924318225 26642222422 27918496550 29035236412 36294045515 51848636450 53284444844 55836993100 66605556055 72588091030 93247778477 103697272900 133211112110 145176182060 173174445743 181470227575 186495556954 266422224220 333027780275 346348891486 362940455150 372991113908 466238892385 666055560550 692697782972 725880910300 865872228715 932477784770 1212221120201 1332111121100 1731744457430 1864955569540 2331194461925 2424442240402 3463488914860 4329361143575 4662388923850 4848884480804 6061105601005 8658722287150 9324777847700 12122211202010 17317444574300 24244422404020 30305528005025 60611056010050 121222112020100