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122221055142 = 233312292771151
BaseRepresentation
bin111000111010011110…
…0010100110010100110
3102200110210110220101000
41301310330110302212
54000302042231032
6132051513214130
711554515553554
oct1616474246246
9380423426330
10122221055142
114791966578a
121b82b701346
13b6aa3ab494
145cb6304bd4
1532a4e80e7c
hex1c74f14ca6

122221055142 has 128 divisors (see below), whose sum is σ = 282850099200. Its totient is φ = 39078288000.

The previous prime is 122221055123. The next prime is 122221055149. The reversal of 122221055142 is 241550122221.

122221055142 is a `hidden beast` number, since 1 + 22 + 22 + 105 + 514 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221055149) 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 63 ways as a sum of consecutive naturals, for example, 106186267 + ... + 106187417.

It is an arithmetic number, because the mean of its divisors is an integer number (2209766400).

Almost surely, 2122221055142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122221055142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141425049600).

122221055142 is an abundant number, since it is smaller than the sum of its proper divisors (160629044058).

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

122221055142 is a wasteful number, since it uses less digits than its factorization.

122221055142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 122221055142 its reverse (241550122221), we get a palindrome (363771177363).

The spelling of 122221055142 in words is "one hundred twenty-two billion, two hundred twenty-one million, fifty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 229 277 279 458 554 558 687 831 837 1151 1374 1662 1674 2061 2302 2493 3453 4122 4986 6183 6906 7099 7479 8587 10359 12366 14198 14958 17174 20718 21297 25761 31077 35681 42594 51522 62154 63433 63891 71362 77283 107043 126866 127782 154566 190299 191673 214086 231849 263579 318827 321129 380598 383346 463698 527158 570897 637654 642258 790737 956481 963387 1141794 1581474 1712691 1912962 1926774 1966423 2372211 2869443 3425382 3932846 4744422 5738886 5899269 7116633 8170949 8608329 9883637 11798538 14233266 16341898 17216658 17697807 19767274 24512847 29650911 35395614 49025694 53093421 59301822 73011383 73538541 88952733 106186842 146022766 147077082 177905466 219034149 220615623 266858199 438068298 441231246 533716398 657102447 1314204894 1971307341 2263352873 3942614682 4526705746 6790058619 13580117238 20370175857 40740351714 61110527571 122221055142