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122100121212 = 22337275000273
BaseRepresentation
bin111000110110110111…
…0111111111001111100
3102200011100220211012120
41301231232333321330
54000030112334322
6132031513202540
711551516622526
oct1615556777174
9380140824176
10122100121212
1147867376293
121b7b7100450
13b68b318444
145ca4224a16
153299543a5c
hex1c6dbbfe7c

122100121212 has 24 divisors (see below), whose sum is σ = 292600291536. Its totient is φ = 39600039168.

The previous prime is 122100121189. The next prime is 122100121219. The reversal of 122100121212 is 212121001221.

It is a junction number, because it is equal to n+sod(n) for n = 122100121191 and 122100121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100121219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137499693 + ... + 137500580.

It is an arithmetic number, because the mean of its divisors is an integer number (12191678814).

Almost surely, 2122100121212 is an apocalyptic number.

122100121212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122100121212 is an abundant number, since it is smaller than the sum of its proper divisors (170500170324).

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

122100121212 is a wasteful number, since it uses less digits than its factorization.

122100121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275000317 (or 275000315 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122100121212 its reverse (212121001221), we get a palindrome (334221122433).

The spelling of 122100121212 in words is "one hundred twenty-two billion, one hundred million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 275000273 550000546 825000819 1100001092 1650001638 3300003276 10175010101 20350020202 30525030303 40700040404 61050060606 122100121212