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122012021100102 = 237191514012525099
BaseRepresentation
bin11011101111100000100011…
…001011010000111001000110
3121000000020100112110001011020
4123233200203023100321012
5111443021104400200402
61111255314303452010
734462035424306260
oct3357404313207106
9530006315401136
10122012021100102
113597100a078471
12118268b6bb7006
1353108b8302913
14221b5b0270b30
15e18c2cb708bc
hex6ef8232d0e46

122012021100102 has 128 divisors (see below), whose sum is σ = 296243923968000. Its totient is φ = 32725270080000.

The previous prime is 122012021100091. The next prime is 122012021100199. The reversal of 122012021100102 is 201001120210221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47057149 + ... + 49582247.

It is an arithmetic number, because the mean of its divisors is an integer number (2314405656000).

Almost surely, 2122012021100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122012021100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148121961984000).

122012021100102 is an abundant number, since it is smaller than the sum of its proper divisors (174231902867898).

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

122012021100102 is a wasteful number, since it uses less digits than its factorization.

122012021100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525682.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122012021100102 its reverse (201001120210221), we get a palindrome (323013141310323).

The spelling of 122012021100102 in words is "one hundred twenty-two trillion, twelve billion, twenty-one million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 151 266 302 399 401 453 798 802 906 1057 1203 2114 2406 2807 2869 3171 5614 5738 6342 7619 8421 8607 15238 16842 17214 20083 22857 40166 45714 53333 60249 60551 106666 120498 121102 159999 181653 319998 363306 423857 847714 1150469 1271571 2300938 2525099 2543142 3451407 5050198 6902814 7575297 8053283 15150594 16106566 17675693 24159849 35351386 47976881 48319698 53027079 95953762 106054158 143930643 287861286 335838167 381289949 671676334 762579898 1007514501 1012564699 1143869847 2015029002 2025129398 2287739694 2669029643 3037694097 5338059286 6075388194 7087952893 7244509031 8007088929 14175905786 14489018062 16014177858 19238729281 21263858679 21733527093 38477458562 42527717358 43467054186 50711563217 57716187843 101423126434 115432375686 134671104967 152134689651 152897269549 269342209934 304269379302 305794539098 404013314901 458691808647 808026629802 917383617294 1070280886843 2140561773686 2905048121431 3210842660529 5810096242862 6421685321058 8715144364293 17430288728586 20335336850017 40670673700034 61006010550051 122012021100102