[go: up one dir, main page]

Search a number
-
+
121213020 = 22357432719
BaseRepresentation
bin1110011100110…
…01000001011100
322110002021000010
413032121001130
5222012304040
620010003220
73001202505
oct716310134
9273067003
10121213020
1162470155
1234716510
131c1600a6
1412153bac
15a994e80
hex739905c

121213020 has 48 divisors (see below), whose sum is σ = 339978240. Its totient is φ = 32268096.

The previous prime is 121212979. The next prime is 121213021. The reversal of 121213020 is 20312121.

It is a super-4 number, since 4×1212130204 (a number of 33 digits) contains 4444 as substring.

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 = 121212987 and 121213005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121213021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43221 + ... + 45939.

It is an arithmetic number, because the mean of its divisors is an integer number (7082880).

Almost surely, 2121213020 is an apocalyptic number.

121213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121213020 is an abundant number, since it is smaller than the sum of its proper divisors (218765220).

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

121213020 is a wasteful number, since it uses less digits than its factorization.

121213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121213020 is about 11009.6784694195. The cubic root of 121213020 is about 494.8988263788.

Adding to 121213020 its reverse (20312121), we get a palindrome (141525141).

The spelling of 121213020 in words is "one hundred twenty-one million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 743 1486 2229 2719 2972 3715 4458 5438 7430 8157 8916 10876 11145 13595 14860 16314 22290 27190 32628 40785 44580 54380 81570 163140 2020217 4040434 6060651 8080868 10101085 12121302 20202170 24242604 30303255 40404340 60606510 121213020