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122441012131331 = 612256118896861
BaseRepresentation
bin11011110101110000000101…
…000010001011011000000011
3121001112020122122202101120102
4123311300011002023120003
5112022033143101200311
61112224342514233015
734535033265022235
oct3365600502133003
9531466578671512
10122441012131331
1136016a3a354703
1211895a7b28576b
1353421a3c787ba
142234268878255
15e24e897de43b
hex6f5c0508b603

122441012131331 has 8 divisors (see below), whose sum is σ = 124448807431728. Its totient is φ = 120433235076000.

The previous prime is 122441012131303. The next prime is 122441012131411. The reversal of 122441012131331 is 133131210144221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122441012131331 - 214 = 122441012114947 is a prime.

It is a super-2 number, since 2×1224410121313312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122441012131294 and 122441012131303.

It is not an unprimeable number, because it can be changed into a prime (122441012133331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9313841 + ... + 18210701.

It is an arithmetic number, because the mean of its divisors is an integer number (15556100928966).

Almost surely, 2122441012131331 is an apocalyptic number.

122441012131331 is a deficient number, since it is larger than the sum of its proper divisors (2007795300397).

122441012131331 is an equidigital number, since it uses as much as digits as its factorization.

122441012131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122533.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 122441012131331 its reverse (133131210144221), we get a palindrome (255572222275552).

The spelling of 122441012131331 in words is "one hundred twenty-two trillion, four hundred forty-one billion, twelve million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 61 225611 8896861 13762271 542708521 2007229707071 122441012131331