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122112333212132 = 2231231766996153
BaseRepresentation
bin11011110000111101111110…
…001111100110100111100100
3121000100211021110101022121202
4123300331332033212213210
5112001142024300242012
61111413344220302032
734502216311221344
oct3360757617464744
9530324243338552
10122112333212132
11359aa6056aa99a
12118422313a1918
13531a1b3691123
1422223a8938d24
15e1b64e4accc2
hex6f0f7e3e69e4

122112333212132 has 18 divisors (see below), whose sum is σ = 220812390266454. Its totient is φ = 59086612842720.

The previous prime is 122112333212123. The next prime is 122112333212141. The reversal of 122112333212132 is 231212333211221.

It is an interprime number because it is at equal distance from previous prime (122112333212123) and next prime (122112333212141).

It can be written as a sum of positive squares in only one way, i.e., 95248699087936 + 26863634124196 = 9759544^2 + 5183014^2 .

It is a super-2 number, since 2×1221123332121322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112333212095 and 122112333212104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15883494233 + ... + 15883501920.

It is an arithmetic number, because the mean of its divisors is an integer number (12267355014803).

Almost surely, 2122112333212132 is an apocalyptic number.

It is an amenable number.

122112333212132 is a deficient number, since it is larger than the sum of its proper divisors (98700057054322).

122112333212132 is a wasteful number, since it uses less digits than its factorization.

122112333212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31766996219 (or 31766996186 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

Adding to 122112333212132 its reverse (231212333211221), we get a palindrome (353324666423353).

The spelling of 122112333212132 in words is "one hundred twenty-two trillion, one hundred twelve billion, three hundred thirty-three million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 31 62 124 961 1922 3844 31766996153 63533992306 127067984612 984776880743 1969553761486 3939107522972 30528083303033 61056166606066 122112333212132