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122640046221 = 37112613971993
BaseRepresentation
bin111001000110111101…
…0101001100010001101
3102201112222212212002010
41302031322221202031
54002131322434341
6132201241451433
711601064123110
oct1621572514215
9381488785063
10122640046221
1148014121a00
121b927aa0b79
13b74613bbb4
145d15c10577
1532cbb46716
hex1c8dea988d

122640046221 has 96 divisors (see below), whose sum is σ = 209411985664. Its totient is φ = 62475494400.

The previous prime is 122640046211. The next prime is 122640046237.

122640046221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122640046221 - 25 = 122640046189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122640046211) 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 95 ways as a sum of consecutive naturals, for example, 61534401 + ... + 61536393.

Almost surely, 2122640046221 is an apocalyptic number.

122640046221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122640046221 is a deficient number, since it is larger than the sum of its proper divisors (86771939443).

122640046221 is a wasteful number, since it uses less digits than its factorization.

122640046221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 122640046221 in words is "one hundred twenty-two billion, six hundred forty million, forty-six thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 33 61 77 121 183 231 363 397 427 671 847 1191 1281 1993 2013 2541 2779 4367 4697 5979 7381 8337 13101 13951 14091 21923 22143 24217 30569 41853 48037 51667 65769 72651 91707 121573 144111 153461 155001 169519 241153 266387 336259 364719 460383 508557 723459 791221 799161 851011 1008777 1337303 1688071 1864709 2373663 2553033 2930257 4011909 5064213 5538547 5594127 8703431 8790771 9361121 14710333 16615641 20511799 26110293 28083363 44130999 48264481 60924017 61535397 95737741 102972331 144793443 182772051 287213223 308916993 337851367 530909291 670164187 1013554101 1592727873 2010492561 3716365037 5840002201 11149095111 17520006603 40880015407 122640046221