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1022201010012 = 2237131224176471
BaseRepresentation
bin11101101111111111110…
…11011001011101011100
310121201110221112120212010
432313333323121131130
5113221431424310022
62101332003111220
7133565044136520
oct16677773313534
93551427476763
101022201010012
11364570904356
12146139072510
1375515969760
1437690b8dd80
151b8ca84d50c
hexedffed975c

1022201010012 has 96 divisors (see below), whose sum is σ = 2935829822464. Its totient is φ = 269565926400.

The previous prime is 1022201010011. The next prime is 1022201010029. The reversal of 1022201010012 is 2100101022201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1022201010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022201010011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13328937 + ... + 13405407.

Almost surely, 21022201010012 is an apocalyptic number.

1022201010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022201010012 is an abundant number, since it is smaller than the sum of its proper divisors (1913628812452).

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

1022201010012 is a wasteful number, since it uses less digits than its factorization.

1022201010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88739 (or 88737 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022201010012 its reverse (2100101022201), we get a palindrome (3122302032213).

The spelling of 1022201010012 in words is "one trillion, twenty-two billion, two hundred one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 12241 24482 36723 48964 73446 76471 85687 146892 152942 159133 171374 229413 257061 305884 318266 342748 458826 477399 514122 535297 636532 917652 954798 994123 1028244 1070594 1113931 1605891 1909596 1988246 2141188 2227862 2982369 3211782 3341793 3976492 4455724 5964738 6423564 6683586 6958861 11929476 13367172 13917722 20876583 27835444 41753166 83506332 936081511 1872163022 2808244533 3744326044 5616489066 6552570577 11232978132 12169059643 13105141154 19657711731 24338119286 26210282308 36507178929 39315423462 48676238572 73014357858 78630846924 85183417501 146028715716 170366835002 255550252503 340733670004 511100505006 1022201010012