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12202031132032 = 277292691745717
BaseRepresentation
bin1011000110010000000110…
…1110110010110110000000
31121012111120112021222122011
42301210001232302312000
53044404224432211112
641541311414222304
72366365464213160
oct261440156626600
947174515258564
1012202031132032
113984941516615
121450a03654994
136a6853766421
1430281d7405a0
15162609856aa7
hexb1901bb2d80

12202031132032 has 128 divisors (see below), whose sum is σ = 28846244232000. Its totient is φ = 5030343499776.

The previous prime is 12202031132029. The next prime is 12202031132063. The reversal of 12202031132032 is 23023113020221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12202031131994 and 12202031132012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6116838 + ... + 7862554.

Almost surely, 212202031132032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202031132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423122116000).

12202031132032 is an abundant number, since it is smaller than the sum of its proper divisors (16644213099968).

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

12202031132032 is a wasteful number, since it uses less digits than its factorization.

12202031132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746036 (or 1746024 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12202031132032 its reverse (23023113020221), we get a palindrome (35225144152253).

The spelling of 12202031132032 in words is "twelve trillion, two hundred two billion, thirty-one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 269 406 448 464 538 812 896 928 1076 1624 1856 1883 2152 3248 3712 3766 4304 6496 7532 7801 8608 12992 15064 15602 17216 25984 30128 31204 34432 54607 60256 62408 109214 120512 124816 218428 241024 249632 436856 499264 873712 998528 1745717 1747424 3491434 3494848 6982868 6989696 12220019 13965736 24440038 27931472 48880076 50625793 55862944 97760152 101251586 111725888 195520304 202503172 223451776 354380551 391040608 405006344 469597873 708761102 782081216 810012688 939195746 1417522204 1564162432 1620025376 1878391492 2835044408 3240050752 3287185111 3756782984 5670088816 6480101504 6574370222 7513565968 11340177632 13148740444 13618338317 15027131936 22680355264 26297480888 27236676634 30054263872 45360710528 52594961776 54473353268 60108527744 95328368219 105189923552 108946706536 190656736438 210379847104 217893413072 381313472876 420759694208 435786826144 762626945752 871573652288 1525253891504 1743147304576 3050507783008 6101015566016 12202031132032