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122001210112199 = 112919316963116819
BaseRepresentation
bin11011101111010110011110…
…110010100111100011000111
3120222222012110002122221202212
4123233112132302213203013
5111442331434242042244
61111250325430454035
734461203501365145
oct3357263662474307
9528865402587685
10122001210112199
11359674715a8220
121182479a50431b
13530c8845b6162
14221ac66522595
15e187e89b9d9e
hex6ef59eca78c7

122001210112199 has 32 divisors (see below), whose sum is σ = 138404336083200. Its totient is φ = 106523661404160.

The previous prime is 122001210112123. The next prime is 122001210112231. The reversal of 122001210112199 is 991211012100221.

It is not a de Polignac number, because 122001210112199 - 224 = 122001193334983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001210112499) 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, 1044302612 + ... + 1044419430.

It is an arithmetic number, because the mean of its divisors is an integer number (4325135502600).

Almost surely, 2122001210112199 is an apocalyptic number.

122001210112199 is a deficient number, since it is larger than the sum of its proper divisors (16403125971001).

122001210112199 is a wasteful number, since it uses less digits than its factorization.

122001210112199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134015.

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 122001210112199 in words is "one hundred twenty-two trillion, one billion, two hundred ten million, one hundred twelve thousand, one hundred ninety-nine".

Divisors: 1 11 29 193 319 2123 5597 16963 61567 116819 186593 491927 1285009 3273859 3387751 5411197 22546067 36012449 37265261 94941911 248006737 653835943 1044361021 1981600697 7192195373 21797607667 57466420213 382448934521 632130622343 4206938279731 11091019101109 122001210112199