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122121001002 = 2371113149313619
BaseRepresentation
bin111000110111011111…
…0101001100000101010
3102200012211012121220010
41301232332221200222
54000100434013002
6132033540512350
711552162244540
oct1615676514052
9380184177803
10122121001002
1147878137610
121b8020ab6b6
13b692749150
145ca6cdbd90
15329b2ba46c
hex1c6efa982a

122121001002 has 128 divisors (see below), whose sum is σ = 328177059840. Its totient is φ = 29258000640.

The previous prime is 122121000931. The next prime is 122121001021. The reversal of 122121001002 is 200100121221.

122121001002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8960149 + ... + 8973767.

It is an arithmetic number, because the mean of its divisors is an integer number (2563883280).

Almost surely, 2122121001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122121001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164088529920).

122121001002 is an abundant number, since it is smaller than the sum of its proper divisors (206056058838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122121001002 is a wasteful number, since it uses less digits than its factorization.

122121001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15148.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122121001002 its reverse (200100121221), we get a palindrome (322221122223).

The spelling of 122121001002 in words is "one hundred twenty-two billion, one hundred twenty-one million, one thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1493 2002 2986 3003 4479 6006 8958 10451 13619 16423 19409 20902 27238 31353 32846 38818 40857 49269 58227 62706 81714 95333 98538 114961 116454 135863 149809 177047 190666 213499 229922 271726 285999 299618 344883 354094 407589 426998 449427 531141 571998 640497 689766 815178 898854 1048663 1062282 1239329 1280994 1494493 1947517 2097326 2478658 2988986 3145989 3717987 3895034 4483479 5842551 6291978 7435974 8966958 11685102 13632619 20333167 27265238 40666334 40897857 60999501 81795714 121999002 142332169 223664837 264331171 284664338 426996507 447329674 528662342 670994511 792993513 853993014 1341989022 1565653859 1585987026 1850318197 2907642881 3131307718 3700636394 4696961577 5550954591 5815285762 8722928643 9393923154 11101909182 17445857286 20353500167 40707000334 61060500501 122121001002