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122121210112120 = 23512911236467373
BaseRepresentation
bin11011110001000110001111…
…010110010010100001111000
3121000101200012002211120011101
4123301012033112102201320
5112001313214242041440
61111421413123141144
734502652300510262
oct3361061726224170
9530350162746141
10122121210112120
1135a0335046227a
1211843aaa2147b4
13531ac997a047b
1422229ab868b32
15e1b9bd97069a
hex6f118f592878

122121210112120 has 32 divisors (see below), whose sum is σ = 274794005977920. Its totient is φ = 48844700360320.

The previous prime is 122121210112081. The next prime is 122121210112151. The reversal of 122121210112120 is 21211012121221.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 117717247 + ... + 118750126.

It is an arithmetic number, because the mean of its divisors is an integer number (8587312686810).

Almost surely, 2122121210112120 is an apocalyptic number.

122121210112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121210112120 is an abundant number, since it is smaller than the sum of its proper divisors (152672795865800).

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

122121210112120 is a wasteful number, since it uses less digits than its factorization.

122121210112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236480295 (or 236480291 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122121210112120 its reverse (21211012121221), we get a palindrome (143332222233341).

The spelling of 122121210112120 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred ten million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 12911 25822 51644 64555 103288 129110 258220 516440 236467373 472934746 945869492 1182336865 1891738984 2364673730 4729347460 9458694920 3053030252803 6106060505606 12212121011212 15265151264015 24424242022424 30530302528030 61060605056060 122121210112120