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122013120213 = 3258889230213
BaseRepresentation
bin111000110100010001…
…1000111011011010101
3102122221022012201021100
41301220203013123111
53444340324321323
6132015124340313
711546412260355
oct1615043073325
9378838181240
10122013120213
1147822253136
121b791b44699
13b6762a656a
145c96858b65
153291aaa943
hex1c688c76d5

122013120213 has 12 divisors (see below), whose sum is σ = 176244931980. Its totient is φ = 81340345536.

The previous prime is 122013120209. The next prime is 122013120241. The reversal of 122013120213 is 312021310221.

It can be written as a sum of positive squares in 2 ways, for example, as 53901515889 + 68111604324 = 232167^2 + 260982^2 .

It is not a de Polignac number, because 122013120213 - 22 = 122013120209 is a prime.

It is a super-2 number, since 2×1220131202132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122013120113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 414895 + ... + 645107.

It is an arithmetic number, because the mean of its divisors is an integer number (14687077665).

Almost surely, 2122013120213 is an apocalyptic number.

It is an amenable number.

122013120213 is a deficient number, since it is larger than the sum of its proper divisors (54231811767).

122013120213 is a wasteful number, since it uses less digits than its factorization.

122013120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289108 (or 289105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122013120213 its reverse (312021310221), we get a palindrome (434034430434).

The spelling of 122013120213 in words is "one hundred twenty-two billion, thirteen million, one hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 9 58889 176667 230213 530001 690639 2071917 13557013357 40671040071 122013120213