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122112000020 = 22547129906383
BaseRepresentation
bin111000110111001110…
…0010100000000010100
3102200012012021022212102
41301232130110000110
54000041133000040
6132033015541232
711552022605603
oct1615634240024
9380165238772
10122112000020
1147873049a8a
121b7bb08a818
13b69091721a
145ca5a37a3a
15329a5dd515
hex1c6e714014

122112000020 has 24 divisors (see below), whose sum is σ = 261891270144. Its totient is φ = 47805548576.

The previous prime is 122111999987. The next prime is 122112000029. The reversal of 122112000020 is 20000211221.

It is a happy number.

It is a super-2 number, since 2×1221120000202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111999965 and 122112000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112000029) 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, 64952252 + ... + 64954131.

It is an arithmetic number, because the mean of its divisors is an integer number (10912136256).

Almost surely, 2122112000020 is an apocalyptic number.

122112000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112000020 is an abundant number, since it is smaller than the sum of its proper divisors (139779270124).

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

122112000020 is a wasteful number, since it uses less digits than its factorization.

122112000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129906439 (or 129906437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122112000020 its reverse (20000211221), we get a palindrome (142112211241).

The spelling of 122112000020 in words is "one hundred twenty-two billion, one hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 129906383 259812766 519625532 649531915 1299063830 2598127660 6105600001 12211200002 24422400004 30528000005 61056000010 122112000020