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122121120220 = 225111929215579
BaseRepresentation
bin111000110111011111…
…1000110100111011100
3102200012211102200102121
41301232333012213130
54000101001321340
6132033543232324
711552163252241
oct1615677064734
9380184380377
10122121120220
1147878209140
121b8021486a4
13b69278b4a8
145ca6d2d5c8
15329b2e094a
hex1c6efc69dc

122121120220 has 48 divisors (see below), whose sum is σ = 294493046400. Its totient is φ = 42070432320.

The previous prime is 122121120203. The next prime is 122121120223. The reversal of 122121120220 is 22021121221.

It is a happy number.

122121120220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122121120194 and 122121120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121120223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14603610 + ... + 14611969.

It is an arithmetic number, because the mean of its divisors is an integer number (6135271800).

Almost surely, 2122121120220 is an apocalyptic number.

122121120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121120220 is an abundant number, since it is smaller than the sum of its proper divisors (172371926180).

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

122121120220 is a wasteful number, since it uses less digits than its factorization.

122121120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29215618 (or 29215616 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122121120220 its reverse (22021121221), we get a palindrome (144142241441).

The spelling of 122121120220 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 29215579 58431158 116862316 146077895 292155790 321371369 555096001 584311580 642742738 1110192002 1285485476 1606856845 2220384004 2775480005 3213713690 5550960010 6106056011 6427427380 11101920020 12212112022 24424224044 30530280055 61060560110 122121120220