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12202002042141 = 31071132339191571
BaseRepresentation
bin1011000110001111111111…
…1111110100110100011101
31121012111111111120001210210
42301203333333310310131
53044404200010322031
641541304454523033
72366364662025042
oct261437777646435
947174444501723
1012202002042141
11398492705798a
1214509b5966479
136a684a71c782
1430281992b1c9
1516260700c746
hexb18ffff4d1d

12202002042141 has 64 divisors (see below), whose sum is σ = 16666516039680. Its totient is φ = 7939336366080.

The previous prime is 12202002042133. The next prime is 12202002042163. The reversal of 12202002042141 is 14124020020221.

It is not a de Polignac number, because 12202002042141 - 23 = 12202002042133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202002049141) 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 63 ways as a sum of consecutive naturals, for example, 7767027886 + ... + 7767029456.

It is an arithmetic number, because the mean of its divisors is an integer number (260414313120).

Almost surely, 212202002042141 is an apocalyptic number.

It is an amenable number.

12202002042141 is a deficient number, since it is larger than the sum of its proper divisors (4464513997539).

12202002042141 is a wasteful number, since it uses less digits than its factorization.

12202002042141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12202002042141 its reverse (14124020020221), we get a palindrome (26326022062362).

The spelling of 12202002042141 in words is "twelve trillion, two hundred two billion, two million, forty-two thousand, one hundred forty-one".

Divisors: 1 3 107 113 233 321 339 699 919 1571 2757 4713 12091 24931 26329 36273 74793 78987 98333 103847 168097 177523 214127 294999 311541 366043 504291 532569 642381 1098129 1443749 2817203 4331247 8451609 11111629 18994961 22911589 24196351 33334887 39166601 41362859 56984883 68734767 72589053 117499803 124088577 154481143 163143637 336393517 463443429 489430911 1009180551 2589009557 4425825913 7767028671 13277477739 17456369159 35994106319 38012467421 52369107477 107982318957 114037402263 4067334014047 12202002042141