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122112222102 = 23213191011931409
BaseRepresentation
bin111000110111001110…
…1001010001110010110
3102200012012200121111200
41301232131022032112
54000041212101402
6132033024413330
711552024522223
oct1615635121626
9380165617450
10122112222102
1147873190922
121b7bb177246
13b690994330
145ca5a9494a
15329a63421c
hex1c6e74a396

122112222102 has 192 divisors, whose sum is σ = 304679793600. Its totient is φ = 35035545600.

The previous prime is 122112222013. The next prime is 122112222103. The reversal of 122112222102 is 201222211221.

It is a happy number.

It is a super-2 number, since 2×1221122221022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112222103) 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, 86665174 + ... + 86666582.

It is an arithmetic number, because the mean of its divisors is an integer number (1586873925).

Almost surely, 2122112222102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122112222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152339896800).

122112222102 is an abundant number, since it is smaller than the sum of its proper divisors (182567571498).

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

122112222102 is a wasteful number, since it uses less digits than its factorization.

122112222102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122112222102 its reverse (201222211221), we get a palindrome (323334433323).

The spelling of 122112222102 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, one hundred two".