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122100121200012 = 22337275000272973
BaseRepresentation
bin11011110000110010100110…
…010110011110010110001100
3121000022122202101022211022120
4123300302212112132112030
5112000442022011400022
61111404004334412540
734501304553640434
oct3360624626362614
9530278671284276
10122100121200012
11359a540930149a
121183b9a3661150
135318cb8627957
14222196aacd2c4
15e1b18730dd5c
hex6f0ca659e58c

122100121200012 has 24 divisors (see below), whose sum is σ = 292600290444336. Its totient is φ = 39600039307968.

The previous prime is 122100121200011. The next prime is 122100121200059. The reversal of 122100121200012 is 210002121001221.

It is a junction number, because it is equal to n+sod(n) for n = 122100121199964 and 122100121200000.

It is not an unprimeable number, because it can be changed into a prime (122100121200011) 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, 137500136043 + ... + 137500136930.

It is an arithmetic number, because the mean of its divisors is an integer number (12191678768514).

Almost surely, 2122100121200012 is an apocalyptic number.

122100121200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122100121200012 is an abundant number, since it is smaller than the sum of its proper divisors (170500169244324).

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

122100121200012 is a wasteful number, since it uses less digits than its factorization.

122100121200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275000273017 (or 275000273015 counting only the distinct ones).

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

Adding to 122100121200012 its reverse (210002121001221), we get a palindrome (332102242201233).

The spelling of 122100121200012 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twenty-one million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 275000272973 550000545946 825000818919 1100001091892 1650001637838 3300003275676 10175010100001 20350020200002 30525030300003 40700040400004 61050060600006 122100121200012