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122112132033 = 3139864133889
BaseRepresentation
bin111000110111001110…
…0110100001111000001
3102200012012112000221210
41301232130310033001
54000041201211113
6132033022440333
711552023665513
oct1615634641701
9380165460853
10122112132033
114787312a191
121b7bb1330a9
13b690962338
145ca5a6dbb3
15329a6176c3
hex1c6e7343c1

122112132033 has 16 divisors (see below), whose sum is σ = 164011332800. Its totient is φ = 80810680320.

The previous prime is 122112132031. The next prime is 122112132073. The reversal of 122112132033 is 330231211221.

It is not a de Polignac number, because 122112132033 - 21 = 122112132031 is a prime.

It is a super-2 number, since 2×1221121320332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122112132031) 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 15 ways as a sum of consecutive naturals, for example, 3586353 + ... + 3620241.

It is an arithmetic number, because the mean of its divisors is an integer number (10250708300).

Almost surely, 2122112132033 is an apocalyptic number.

It is an amenable number.

122112132033 is a deficient number, since it is larger than the sum of its proper divisors (41899200767).

122112132033 is a wasteful number, since it uses less digits than its factorization.

122112132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42672.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122112132033 its reverse (330231211221), we get a palindrome (452343343254).

The spelling of 122112132033 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred thirty-two thousand, thirty-three".

Divisors: 1 3 139 417 8641 25923 33889 101667 1201099 3603297 4710571 14131713 292834849 878504547 40704044011 122112132033