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122112233130 = 23579214324043
BaseRepresentation
bin111000110111001110…
…1001100111010101010
3102200012012201011122010
41301232131030322222
54000041212430010
6132033024540350
711552024566326
oct1615635147252
9380165634563
10122112233130
1147873199138
121b7bb1816b6
13b690999364
145ca5a98986
15329a637620
hex1c6e74ceaa

122112233130 has 64 divisors (see below), whose sum is σ = 296929935360. Its totient is φ = 32134729536.

The previous prime is 122112233123. The next prime is 122112233137. The reversal of 122112233130 is 31332211221.

It is an interprime number because it is at equal distance from previous prime (122112233123) and next prime (122112233137).

It is a super-2 number, since 2×1221122331302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112233097 and 122112233106.

It is not an unprimeable number, because it can be changed into a prime (122112233137) 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, 5066889 + ... + 5090931.

It is an arithmetic number, because the mean of its divisors is an integer number (4639530240).

Almost surely, 2122112233130 is an apocalyptic number.

122112233130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122112233130 is an abundant number, since it is smaller than the sum of its proper divisors (174817702230).

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

122112233130 is a wasteful number, since it uses less digits than its factorization.

122112233130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26275.

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

Adding to 122112233130 its reverse (31332211221), we get a palindrome (153444444351).

The spelling of 122112233130 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 79 158 237 395 474 790 1185 2143 2370 4286 6429 10715 12858 21430 24043 32145 48086 64290 72129 120215 144258 169297 240430 338594 360645 507891 721290 846485 1015782 1692970 1899397 2539455 3798794 5078910 5698191 9496985 11396382 18993970 28490955 51524149 56981910 103048298 154572447 257620745 309144894 515241490 772862235 1545724470 4070407771 8140815542 12211223313 20352038855 24422446626 40704077710 61056116565 122112233130