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22122133132120 = 235779007618329
BaseRepresentation
bin1010000011110101101011…
…11000110001001101011000
32220022212002111100022021121
411001322311320301031120
510344422112040211440
6115014433452015024
74442162040021310
oct501726570611530
986285074308247
1022122133132120
117059a4248074a
122593501761474
13c46153950b08
14566a07486440
152856aa22834a
hex141eb5e31358

22122133132120 has 32 divisors (see below), whose sum is σ = 56885485197600. Its totient is φ = 7584731359488.

The previous prime is 22122133132111. The next prime is 22122133132129. The reversal of 22122133132120 is 2123133122122.

It is an interprime number because it is at equal distance from previous prime (22122133132111) and next prime (22122133132129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122133132129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39503808885 + ... + 39503809444.

It is an arithmetic number, because the mean of its divisors is an integer number (1777671412425).

Almost surely, 222122133132120 is an apocalyptic number.

22122133132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122133132120 is an abundant number, since it is smaller than the sum of its proper divisors (34763352065480).

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

22122133132120 is a wasteful number, since it uses less digits than its factorization.

22122133132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79007618347 (or 79007618343 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 22122133132120 its reverse (2123133122122), we get a palindrome (24245266254242).

The spelling of 22122133132120 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 79007618329 158015236658 316030473316 395038091645 553053328303 632060946632 790076183290 1106106656606 1580152366580 2212213313212 2765266641515 3160304733160 4424426626424 5530533283030 11061066566060 22122133132120