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122421241041 = 31117311701671
BaseRepresentation
bin111001000000011011…
…1111110010011010001
3102200222202011101210120
41302000313332103101
54001204314203131
6132123424020453
711562466244121
oct1620067762321
9380882141716
10122421241041
1147a11665380
121b886761729
13b70c9cc288
145cd4b34c81
1532b7825496
hex1c80dfe4d1

122421241041 has 32 divisors (see below), whose sum is σ = 189148317696. Its totient is φ = 69605664000.

The previous prime is 122421240989. The next prime is 122421241043. The reversal of 122421241041 is 140142124221.

It is a happy number.

It is not a de Polignac number, because 122421241041 - 217 = 122421109969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122421241043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176365 + ... + 525306.

It is an arithmetic number, because the mean of its divisors is an integer number (5910884928).

Almost surely, 2122421241041 is an apocalyptic number.

122421241041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122421241041 is a deficient number, since it is larger than the sum of its proper divisors (66727076655).

122421241041 is a wasteful number, since it uses less digits than its factorization.

122421241041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702013.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 122421241041 its reverse (140142124221), we get a palindrome (262563365262).

The spelling of 122421241041 in words is "one hundred twenty-two billion, four hundred twenty-one million, two hundred forty-one thousand, forty-one".

Divisors: 1 3 11 17 33 51 187 311 561 933 3421 5287 10263 15861 58157 174471 701671 2105013 7718381 11928407 23155143 35785221 131212477 218219681 393637431 654659043 2400416491 3709734577 7201249473 11129203731 40807080347 122421241041