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122120000210 = 251329103314491
BaseRepresentation
bin111000110111011101…
…0110101001011010010
3102200012202022210001202
41301232322311023102
54000100210001320
6132033503231202
711552150606015
oct1615672651322
9380182283052
10122120000210
114787761370a
121b8018a8502
13b692488770
145ca6b1b37c
15329b16db75
hex1c6eeb52d2

122120000210 has 64 divisors (see below), whose sum is σ = 247266190080. Its totient is φ = 43112805120.

The previous prime is 122120000209. The next prime is 122120000251. The reversal of 122120000210 is 12000021221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122120000191 and 122120000200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231065 + ... + 545555.

It is an arithmetic number, because the mean of its divisors is an integer number (3863534220).

Almost surely, 2122120000210 is an apocalyptic number.

122120000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122120000210 is an abundant number, since it is smaller than the sum of its proper divisors (125146189870).

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

122120000210 is a wasteful number, since it uses less digits than its factorization.

122120000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314643.

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

Adding to 122120000210 its reverse (12000021221), we get a palindrome (134120021431).

The spelling of 122120000210 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 13 26 29 58 65 103 130 145 206 290 377 515 754 1030 1339 1885 2678 2987 3770 5974 6695 13390 14935 29870 38831 77662 194155 314491 388310 628982 1572455 3144910 4088383 8176766 9120239 18240478 20441915 32392573 40883830 45601195 64785146 91202390 118563107 161962865 237126214 323925730 421103449 592815535 842206898 939384617 1185631070 1878769234 2105517245 4211034490 4696923085 9393846170 12212000021 24424000042 61060000105 122120000210