Search a number
-
+
1221121000120 = 23574499713021
BaseRepresentation
bin10001110001010000011…
…110111100001010111000
311022201221000121002022011
4101301100132330022320
5130001323434000440
62332550352535304
7154136342145610
oct21612036741270
94281830532264
101221121000120
11430968a7409a
121787b2b51534
138b1c72b6a08
1443161657a40
1521b6e0899ea
hex11c507bc2b8

1221121000120 has 64 divisors (see below), whose sum is σ = 3147019128000. Its totient is φ = 417737564160.

The previous prime is 1221121000117. The next prime is 1221121000133. The reversal of 1221121000120 is 210001211221.

It is a super-2 number, since 2×12211210001202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1221121000120.

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 15 ways as a sum of consecutive naturals, for example, 4730791 + ... + 4982230.

It is an arithmetic number, because the mean of its divisors is an integer number (49172173875).

Almost surely, 21221121000120 is an apocalyptic number.

1221121000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221121000120 is an abundant number, since it is smaller than the sum of its proper divisors (1925898127880).

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

1221121000120 is a wasteful number, since it uses less digits than its factorization.

1221121000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9713488 (or 9713484 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1221121000120 its reverse (210001211221), we get a palindrome (1431122211341).

The spelling of 1221121000120 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 449 898 1796 2245 3143 3592 4490 6286 8980 12572 15715 17960 25144 31430 62860 125720 9713021 19426042 38852084 48565105 67991147 77704168 97130210 135982294 194260420 271964588 339955735 388520840 543929176 679911470 1359822940 2719645880 4361146429 8722292858 17444585716 21805732145 30528025003 34889171432 43611464290 61056050006 87222928580 122112100012 152640125015 174445857160 244224200024 305280250030 610560500060 1221121000120