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122022112 = 255371947
BaseRepresentation
bin1110100010111…
…10100011100000
322111121100212111
413101132203200
5222214201422
620035205104
73011112412
oct721364340
9274540774
10122022112
1162973023
1234a46794
131c384444
14122c49b2
15aaa4a77
hex745e8e0

122022112 has 24 divisors (see below), whose sum is σ = 244767096. Its totient is φ = 59859072.

The previous prime is 122022097. The next prime is 122022113. The reversal of 122022112 is 211220221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122022092 and 122022101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34278 + ... + 37669.

It is an arithmetic number, because the mean of its divisors is an integer number (10198629).

Almost surely, 2122022112 is an apocalyptic number.

It is an amenable number.

122022112 is an abundant number, since it is smaller than the sum of its proper divisors (122744984).

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

122022112 is an equidigital number, since it uses as much as digits as its factorization.

122022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72010 (or 72002 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 122022112 is about 11046.3619350445. The cubic root of 122022112 is about 495.9975286037.

Adding to 122022112 its reverse (211220221), we get a palindrome (333242333).

It can be divided in two parts, 1220 and 22112, that added together give a palindrome (23332).

The spelling of 122022112 in words is "one hundred twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 71947 143894 287788 575576 1151152 2302304 3813191 7626382 15252764 30505528 61011056 122022112