Search a number
-
+
121221010020 = 2235111012278011
BaseRepresentation
bin111000011100101010…
…1011101001001100100
3102120220002201100100210
41300321111131021210
53441230034310040
6131404350535420
711520653404245
oct1607125351144
9376802640323
10121221010020
1147456111010
121b5b0807570
13b57b1568c6
145c1d584ccc
153247291480
hex1c3955d264

121221010020 has 192 divisors, whose sum is σ = 375635377152. Its totient is φ = 28964160000.

The previous prime is 121221010007. The next prime is 121221010039. The reversal of 121221010020 is 20010122121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121221009978 and 121221010005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15127815 + ... + 15135825.

It is an arithmetic number, because the mean of its divisors is an integer number (1956434256).

Almost surely, 2121221010020 is an apocalyptic number.

121221010020 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 121221010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187817688576).

121221010020 is an abundant number, since it is smaller than the sum of its proper divisors (254414367132).

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

121221010020 is a wasteful number, since it uses less digits than its factorization.

121221010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362 (or 8360 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121221010020 its reverse (20010122121), we get a palindrome (141231132141).

The spelling of 121221010020 in words is "one hundred twenty-one billion, two hundred twenty-one million, ten thousand, twenty".