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121221022001020 = 225311631199495567
BaseRepresentation
bin11011100011111111110111…
…111101001010011101111100
3120220012121122110002110000021
4123203333313331022131330
5111342041123113013040
61105452100235541524
734350633634020004
oct3343776775123574
9526177573073007
10121221022001020
113569660176a867
1211719542bba8a4
13528412a060626
1421d11b34b7004
15e03384b8724a
hex6e3ff7f4a77c

121221022001020 has 48 divisors (see below), whose sum is σ = 264388015116288. Its totient is φ = 46636387606080.

The previous prime is 121221022000951. The next prime is 121221022001021. The reversal of 121221022001020 is 20100220122121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121221022000985 and 121221022001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221022001021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599646724 + ... + 599848843.

It is an arithmetic number, because the mean of its divisors is an integer number (5508083648256).

Almost surely, 2121221022001020 is an apocalyptic number.

121221022001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221022001020 is an abundant number, since it is smaller than the sum of its proper divisors (143166993115268).

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

121221022001020 is a wasteful number, since it uses less digits than its factorization.

121221022001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199495770 (or 1199495768 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121221022001020 its reverse (20100220122121), we get a palindrome (141321242123141).

The spelling of 121221022001020 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty-two million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 163 310 326 620 652 815 1630 3260 5053 10106 20212 25265 50530 101060 1199495567 2398991134 4797982268 5997477835 11994955670 23989911340 37184362577 74368725154 148737450308 185921812885 195517777421 371843625770 391035554842 743687251540 782071109684 977588887105 1955177774210 3910355548420 6061051100051 12122102200102 24244204400204 30305255500255 60610511000510 121221022001020