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122112012212 = 22229925714401
BaseRepresentation
bin111000110111001110…
…0010110111110110100
3102200012012021221120222
41301232130112332310
54000041133342322
6132033020113512
711552022656261
oct1615634267664
9380165257528
10122112012212
1147873058163
121b7bb095898
13b69091c938
145ca5a3c268
15329a5e1e42
hex1c6e716fb4

122112012212 has 24 divisors (see below), whose sum is σ = 214667282760. Its totient is φ = 60778598400.

The previous prime is 122112012203. The next prime is 122112012221. The reversal of 122112012212 is 212210211221.

It is an interprime number because it is at equal distance from previous prime (122112012203) and next prime (122112012221).

It can be written as a sum of positive squares in 4 ways, for example, as 59149158436 + 62962853776 = 243206^2 + 250924^2 .

It is a super-2 number, since 2×1221120122122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8472212 + ... + 8486612.

It is an arithmetic number, because the mean of its divisors is an integer number (8944470115).

Almost surely, 2122112012212 is an apocalyptic number.

It is an amenable number.

122112012212 is a deficient number, since it is larger than the sum of its proper divisors (92555270548).

122112012212 is a wasteful number, since it uses less digits than its factorization.

122112012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23891 (or 23889 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122112012212 its reverse (212210211221), we get a palindrome (334322223433).

The spelling of 122112012212 in words is "one hundred twenty-two billion, one hundred twelve million, twelve thousand, two hundred twelve".

Divisors: 1 2 4 229 458 916 9257 14401 18514 28802 37028 57604 2119853 3297829 4239706 6595658 8479412 13191316 133310057 266620114 533240228 30528003053 61056006106 122112012212