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121002221020 = 22529432112831
BaseRepresentation
bin111000010110001001…
…0110101110111011100
3102120022212000201021111
41300230102311313130
53440303032033040
6131330533311404
711512355623402
oct1605422656734
9376285021244
10121002221020
114735366565a
121b54b495564
13b544a21465
145bdc4b1472
153232e74dea
hex1c2c4b5ddc

121002221020 has 72 divisors (see below), whose sum is σ = 269124629760. Its totient is φ = 45644699520.

The previous prime is 121002220979. The next prime is 121002221051. The reversal of 121002221020 is 20122200121.

It is a happy number.

121002221020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1016005 + ... + 1128835.

It is an arithmetic number, because the mean of its divisors is an integer number (3737842080).

Almost surely, 2121002221020 is an apocalyptic number.

121002221020 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 121002221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134562314880).

121002221020 is an abundant number, since it is smaller than the sum of its proper divisors (148122408740).

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

121002221020 is a wasteful number, since it uses less digits than its factorization.

121002221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112955 (or 112910 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 121002221020 its reverse (20122200121), we get a palindrome (141124421141).

The spelling of 121002221020 in words is "one hundred twenty-one billion, two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 430 580 860 1247 1849 2494 3698 4988 6235 7396 9245 12470 18490 24940 36980 53621 107242 112831 214484 225662 268105 451324 536210 564155 1072420 1128310 2256620 3272099 4851733 6544198 9703466 13088396 16360495 19406932 24258665 32720990 48517330 65441980 97034660 140700257 208624519 281400514 417249038 562801028 703501285 834498076 1043122595 1407002570 2086245190 2814005140 4172490380 6050111051 12100222102 24200444204 30250555255 60501110510 121002221020