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122440311232233 = 3227263823830657
BaseRepresentation
bin11011110101101111011011…
…010000011101011011101001
3121001112011211210220000202120
4123311233123100131123221
5112022030224133412413
61112224145155421453
734535010024334521
oct3365573320353351
9531464753800676
10122440311232233
113601670a750855
12118959045b4889
1353420c19b30c7
1422341dd748681
15e24e47ee0723
hex6f5bdb41d6e9

122440311232233 has 32 divisors (see below), whose sum is σ = 164796593043456. Its totient is φ = 80859816250368.

The previous prime is 122440311232199. The next prime is 122440311232271. The reversal of 122440311232233 is 332232113044221.

It is a happy number.

It is not a de Polignac number, because 122440311232233 - 222 = 122440307037929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122440311232194 and 122440311232203.

It is not an unprimeable number, because it can be changed into a prime (122440311232933) 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 31 ways as a sum of consecutive naturals, for example, 146986441 + ... + 147817097.

It is an arithmetic number, because the mean of its divisors is an integer number (5149893532608).

Almost surely, 2122440311232233 is an apocalyptic number.

It is an amenable number.

122440311232233 is a deficient number, since it is larger than the sum of its proper divisors (42356281811223).

122440311232233 is a wasteful number, since it uses less digits than its factorization.

122440311232233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831973.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 122440311232233 its reverse (332232113044221), we get a palindrome (454672424276454).

The spelling of 122440311232233 in words is "one hundred twenty-two trillion, four hundred forty billion, three hundred eleven million, two hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 3 227 263 681 789 823 2469 59701 179103 186821 216449 560463 649347 830657 2491971 49133923 147401769 188559139 218462791 565677417 655388373 683630711 2050892133 49591053557 148773160671 155184171397 179794876993 465552514191 539384630979 40813437077411 122440311232233