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122102011122 = 237213194339103
BaseRepresentation
bin111000110110111011…
…0001101010011110010
3102200011111110211200020
41301231312031103302
54000031103323442
6132032021504310
711551541653500
oct1615566152362
9380144424606
10122102011122
11478684471a3
121b7b7872096
13b68b82a730
145ca4597670
1532997b89ec
hex1c6dd8d4f2

122102011122 has 192 divisors, whose sum is σ = 329524715520. Its totient is φ = 29797600896.

The previous prime is 122102011121. The next prime is 122102011183. The reversal of 122102011122 is 221110201221.

It is a super-2 number, since 2×1221020111222 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122102011121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3103023 + ... + 3142125.

It is an arithmetic number, because the mean of its divisors is an integer number (1716274560).

Almost surely, 2122102011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122102011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164762357760).

122102011122 is an abundant number, since it is smaller than the sum of its proper divisors (207422704398).

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

122102011122 is a wasteful number, since it uses less digits than its factorization.

122102011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39197 (or 39190 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122102011122 its reverse (221110201221), we get a palindrome (343212212343).

The spelling of 122102011122 in words is "one hundred twenty-two billion, one hundred two million, eleven thousand, one hundred twenty-two".