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122100211010200 = 23522931679089049
BaseRepresentation
bin11011110000110010101011…
…101101000100101010011000
3121000022122222122022122201211
4123300302223231010222120
5112000442213004311300
61111404021303352504
734501310024212633
oct3360625355045230
9530278878278654
10122100211010200
11359a5454a73195
121183ba09752734
135319001111387
1422219789cac1a
15e1b19014e4ba
hex6f0cabb44a98

122100211010200 has 96 divisors (see below), whose sum is σ = 303145351920000. Its totient is φ = 45634784025600.

The previous prime is 122100211010191. The next prime is 122100211010233. The reversal of 122100211010200 is 2010112001221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339364725 + ... + 339724324.

It is an arithmetic number, because the mean of its divisors is an integer number (3157764082500).

Almost surely, 2122100211010200 is an apocalyptic number.

122100211010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100211010200 is an abundant number, since it is smaller than the sum of its proper divisors (181045140909800).

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

122100211010200 is a wasteful number, since it uses less digits than its factorization.

122100211010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679089125 (or 679089116 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122100211010200 its reverse (2010112001221), we get a palindrome (124110323011421).

The spelling of 122100211010200 in words is "one hundred twenty-two trillion, one hundred billion, two hundred eleven million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 31 40 50 58 62 100 116 124 145 155 200 232 248 290 310 580 620 725 775 899 1160 1240 1450 1550 1798 2900 3100 3596 4495 5800 6200 7192 8990 17980 22475 35960 44950 89900 179800 679089049 1358178098 2716356196 3395445245 5432712392 6790890490 13581780980 16977226225 19693582421 21051760519 27163561960 33954452450 39387164842 42103521038 67908904900 78774329684 84207042076 98467912105 105258802595 135817809800 157548659368 168414084152 196935824210 210517605190 393871648420 421035210380 492339560525 526294012975 610501055051 787743296840 842070420760 984679121050 1052588025950 1221002110102 1969358242100 2105176051900 2442004220204 3052505275255 3938716484200 4210352103800 4884008440408 6105010550510 12210021101020 15262526376275 24420042202040 30525052752550 61050105505100 122100211010200