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121122121020 = 223597130715923
BaseRepresentation
bin111000011001101110…
…0001110010100111100
3102120122012122021011020
41300303130032110330
53441024230333040
6131350455224140
711515343020155
oct1606334162474
9376565567136
10121122121020
114740530926a
121b583678050
13b5638119c4
145c103a292c
15323d75acd0
hex1c3370e53c

121122121020 has 96 divisors (see below), whose sum is σ = 342921938688. Its totient is φ = 31939786752.

The previous prime is 121122121019. The next prime is 121122121037. The reversal of 121122121020 is 20121221121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7598779 + ... + 7614701.

It is an arithmetic number, because the mean of its divisors is an integer number (3572103528).

Almost surely, 2121122121020 is an apocalyptic number.

121122121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171460969344).

121122121020 is an abundant number, since it is smaller than the sum of its proper divisors (221799817668).

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

121122121020 is a wasteful number, since it uses less digits than its factorization.

121122121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17339 (or 17337 counting only the distinct ones).

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

Adding to 121122121020 its reverse (20121221121), we get a palindrome (141243342141).

The spelling of 121122121020 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1307 1455 1940 2614 2910 3921 5228 5820 6535 7842 13070 15684 15923 19605 26140 31846 39210 47769 63692 78420 79615 95538 126779 159230 191076 238845 253558 318460 380337 477690 507116 633895 760674 955380 1267790 1521348 1544531 1901685 2535580 3089062 3803370 4633593 6178124 7606740 7722655 9267186 15445310 18534372 20811361 23167965 30890620 41622722 46335930 62434083 83245444 92671860 104056805 124868166 208113610 249736332 312170415 416227220 624340830 1248681660 2018702017 4037404034 6056106051 8074808068 10093510085 12112212102 20187020170 24224424204 30280530255 40374040340 60561060510 121122121020