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1002232201212 = 223411720739019
BaseRepresentation
bin11101001010110011011…
…00011011111111111100
310112210221021200222220000
432211121230123333330
5112410032420414322
62044230310154300
7132260151102204
oct16453154337774
93483837628800
101002232201212
11357053a49790
121422a5652990
1373682893068
1436718aa7404
151b10c6e43ac
hexe959b1bffc

1002232201212 has 120 divisors (see below), whose sum is σ = 2858687610240. Its totient is φ = 303656804640.

The previous prime is 1002232201207. The next prime is 1002232201219. The reversal of 1002232201212 is 2121022322001.

1002232201212 is a `hidden beast` number, since 10 + 0 + 223 + 220 + 1 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002232201219) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25666239 + ... + 25705257.

It is an arithmetic number, because the mean of its divisors is an integer number (23822396752).

Almost surely, 21002232201212 is an apocalyptic number.

1002232201212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002232201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429343805120).

1002232201212 is an abundant number, since it is smaller than the sum of its proper divisors (1856455409028).

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

1002232201212 is a wasteful number, since it uses less digits than its factorization.

1002232201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46253 (or 46242 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1002232201212 its reverse (2121022322001), we get a palindrome (3123254523213).

The spelling of 1002232201212 in words is "one trillion, two billion, two hundred thirty-two million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 7207 14414 21621 28828 39019 43242 64863 78038 79277 86484 117057 129726 156076 158554 194589 234114 237831 259452 317108 351171 389178 429209 468228 475662 583767 702342 713493 778356 858418 951324 1053513 1167534 1287627 1404684 1426986 1716836 2107026 2140479 2335068 2575254 2853972 3160539 3862881 4214052 4280958 5150508 6321078 6421437 7725762 8561916 11588643 12642156 12842874 15451524 23177286 25685748 34765929 46354572 69531858 139063716 281209933 562419866 843629799 1124839732 1687259598 2530889397 3093309263 3374519196 5061778794 6186618526 7592668191 9279927789 10123557588 12373237052 15185336382 18559855578 22778004573 27839783367 30370672764 37119711156 45556009146 55679566734 83519350101 91112018292 111359133468 167038700202 250558050303 334077400404 501116100606 1002232201212