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122101222002123 = 37132319445966237
BaseRepresentation
bin11011110000110011100111…
…111101101100110111001011
3121000022202121002200100221010
4123300303213331230313023
5112001001300313031443
61111404305500415003
734501344051414150
oct3360634775546713
9530282532610833
10122101222002123
11359a5923714401
1211840050247463
1353191326c9750
142221a32d9a227
15e1b1edca2733
hex6f0ce7f6cdcb

122101222002123 has 32 divisors (see below), whose sum is σ = 209083028990976. Its totient is φ = 61604821035648.

The previous prime is 122101222002119. The next prime is 122101222002131. The reversal of 122101222002123 is 321200222101221.

It is not a de Polignac number, because 122101222002123 - 22 = 122101222002119 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122101222002123.

It is not an unprimeable number, because it can be changed into a prime (122101222002623) 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, 9722976840 + ... + 9722989397.

It is an arithmetic number, because the mean of its divisors is an integer number (6533844655968).

Almost surely, 2122101222002123 is an apocalyptic number.

122101222002123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122101222002123 is a deficient number, since it is larger than the sum of its proper divisors (86981806988853).

122101222002123 is a wasteful number, since it uses less digits than its factorization.

122101222002123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19445966283.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122101222002123 its reverse (321200222101221), we get a palindrome (443301444103344).

The spelling of 122101222002123 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-two million, two thousand, one hundred twenty-three".

Divisors: 1 3 7 13 21 23 39 69 91 161 273 299 483 897 2093 6279 19445966237 58337898711 136121763659 252797561081 408365290977 447257223451 758392683243 1341771670353 1769582927567 3130800564157 5308748782701 5814343904863 9392401692471 17443031714589 40700407334041 122101222002123