Search a number
-
+
120123212220 = 22345112612811
BaseRepresentation
bin110111111011111100…
…1101100000110111100
3102111001121000102220000
41233313321230012330
53432003020242340
6131103413154300
711451523312464
oct1576771540674
9374047012800
10120123212220
1146a42470300
121b34502b990
13b4348973cb
145b5785aba4
1531d0be2d30
hex1bf7e6c1bc

120123212220 has 180 divisors, whose sum is σ = 414203307672. Its totient is φ = 29120731200.

The previous prime is 120123212203. The next prime is 120123212227. The reversal of 120123212220 is 22212321021.

120123212220 is a `hidden beast` number, since 1 + 201 + 232 + 12 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1201232122202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120123212193 and 120123212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120123212227) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 110386 + ... + 502425.

Almost surely, 2120123212220 is an apocalyptic number.

120123212220 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 120123212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207101653836).

120123212220 is an abundant number, since it is smaller than the sum of its proper divisors (294080095452).

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

120123212220 is a wasteful number, since it uses less digits than its factorization.

120123212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612854 (or 612832 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120123212220 its reverse (22212321021), we get a palindrome (142335533241).

The spelling of 120123212220 in words is "one hundred twenty billion, one hundred twenty-three million, two hundred twelve thousand, two hundred twenty".