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122122400041 = 1923691404423
BaseRepresentation
bin111000110111100001…
…1111111000100101001
3102200012220211201000101
41301233003333010221
54000101313300131
6132034030505401
711552210162425
oct1615703770451
9380186751011
10122122400041
1147878a02744
121b802665261
13b692b18b95
145ca7183b85
15329b494c61
hex1c6f0ff129

122122400041 has 16 divisors (see below), whose sum is σ = 134333475840. Its totient is φ = 110504267280.

The previous prime is 122122399999. The next prime is 122122400051. The reversal of 122122400041 is 140004221221.

It is not a de Polignac number, because 122122400041 - 219 = 122121875753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122122399991 and 122122400018.

It is not an unprimeable number, because it can be changed into a prime (122122400051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99756 + ... + 504178.

It is an arithmetic number, because the mean of its divisors is an integer number (8395842240).

Almost surely, 2122122400041 is an apocalyptic number.

It is an amenable number.

122122400041 is a deficient number, since it is larger than the sum of its proper divisors (12211075799).

122122400041 is a wasteful number, since it uses less digits than its factorization.

122122400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405156.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 122122400041 its reverse (140004221221), we get a palindrome (262126621262).

The spelling of 122122400041 in words is "one hundred twenty-two billion, one hundred twenty-two million, four hundred thousand, forty-one".

Divisors: 1 19 23 437 691 13129 15893 301967 404423 7684037 9301729 176732851 279456293 5309669567 6427494739 122122400041