Search a number
-
+
121012211120 = 2451788979567
BaseRepresentation
bin111000010110011100…
…0111100110110110000
3102120100112211021010012
41300230320330312300
53440313111223440
6131331531354052
711512536552143
oct1605470746660
9376315737105
10121012211120
1147359269339
121b5528b2928
13b546b0b668
145bdd95205a
153233c99e65
hex1c2ce3cdb0

121012211120 has 40 divisors (see below), whose sum is σ = 297903593664. Its totient is φ = 45557537792.

The previous prime is 121012211093. The next prime is 121012211153. The reversal of 121012211120 is 21112210121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 121012211095 and 121012211104.

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 7 ways as a sum of consecutive naturals, for example, 44488424 + ... + 44491143.

Almost surely, 2121012211120 is an apocalyptic number.

121012211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121012211120 is an abundant number, since it is smaller than the sum of its proper divisors (176891382544).

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

121012211120 is a wasteful number, since it uses less digits than its factorization.

121012211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88979597 (or 88979591 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121012211120 its reverse (21112210121), we get a palindrome (142124421241).

Subtracting from 121012211120 its reverse (21112210121), we obtain a palindrome (99900000999).

The spelling of 121012211120 in words is "one hundred twenty-one billion, twelve million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 88979567 177959134 355918268 444897835 711836536 889795670 1423673072 1512652639 1779591340 3025305278 3559182680 6050610556 7118365360 7563263195 12101221112 15126526390 24202442224 30253052780 60506105560 121012211120