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122040340201 = 13374771139547
BaseRepresentation
bin111000110101000101…
…0111100111011101001
3102200000012102122002001
41301222022330323221
53444414311341301
6132021540011001
711550162530053
oct1615212747351
9380005378061
10122040340201
114783665499a
121b79b090a61
13b67bb17070
145c9a3028d3
153294185c01
hex1c6a2bcee9

122040340201 has 64 divisors (see below), whose sum is σ = 141056778240. Its totient is φ = 104812081920.

The previous prime is 122040340199. The next prime is 122040340223. The reversal of 122040340201 is 102043040221.

It is not a de Polignac number, because 122040340201 - 21 = 122040340199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122040340601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223108210 + ... + 223108756.

It is an arithmetic number, because the mean of its divisors is an integer number (2204012160).

Almost surely, 2122040340201 is an apocalyptic number.

It is an amenable number.

122040340201 is a deficient number, since it is larger than the sum of its proper divisors (19016438039).

122040340201 is a wasteful number, since it uses less digits than its factorization.

122040340201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 122040340201 its reverse (102043040221), we get a palindrome (224083380422).

It can be divided in two parts, 122040 and 340201, that added together give a triangular number (462241 = T961).

The spelling of 122040340201 in words is "one hundred twenty-two billion, forty million, three hundred forty thousand, two hundred one".

Divisors: 1 13 37 47 71 139 481 547 611 923 1739 1807 2627 3337 5143 6533 7111 9869 20239 22607 25709 34151 38837 43381 66859 76033 84929 123469 128297 241721 263107 334217 365153 463843 504881 951233 988429 1436969 1605097 1825339 2813221 3142373 3573551 4746989 5398343 6029959 12366029 17162191 18680597 23729407 36571873 46456163 67537543 70178459 132221387 199738691 223108483 253722121 877988059 1718878031 2596602983 3298387573 9387718477 122040340201