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122112323130 = 23574871194019
BaseRepresentation
bin111000110111001110…
…1100010111000111010
3102200012012212202002110
41301232131202320322
54000041223320010
6132033030513150
711552025422610
oct1615635427072
9380165782073
10122112323130
114787324a816
121b7bb2057b6
13b6909cb305
145ca5abd6b0
15329a654120
hex1c6e762e3a

122112323130 has 64 divisors (see below), whose sum is σ = 335624693760. Its totient is φ = 27854051904.

The previous prime is 122112323119. The next prime is 122112323131. The reversal of 122112323130 is 31323211221.

It is a super-2 number, since 2×1221123231302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122112323097 and 122112323106.

It is not an unprimeable number, because it can be changed into a prime (122112323131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494740 + ... + 699279.

It is an arithmetic number, because the mean of its divisors is an integer number (5244135840).

Almost surely, 2122112323130 is an apocalyptic number.

122112323130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122112323130 is an abundant number, since it is smaller than the sum of its proper divisors (213512370630).

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

122112323130 is a wasteful number, since it uses less digits than its factorization.

122112323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194523.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122112323130 its reverse (31323211221), we get a palindrome (153435534351).

It can be divided in two parts, 1221123 and 23130, that added together give a triangular number (1244253 = T1577).

The spelling of 122112323130 in words is "one hundred twenty-two billion, one hundred twelve million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 487 974 1461 2435 2922 3409 4870 6818 7305 10227 14610 17045 20454 34090 51135 102270 1194019 2388038 3582057 5970095 7164114 8358133 11940190 16716266 17910285 25074399 35820570 41790665 50148798 83581330 125371995 250743990 581487253 1162974506 1744461759 2907436265 3488923518 4070410771 5814872530 8140821542 8722308795 12211232313 17444617590 20352053855 24422464626 40704107710 61056161565 122112323130