Search a number
-
+
120121032020220 = 223357112593944221
BaseRepresentation
bin11011010011111111011011…
…011100011001000011111100
3120202022110101020212201001000
4123103333123130121003330
5111221030333144121340
61103250501301050300
734205313103321650
oct3323773334310374
9522273336781030
10120121032020220
1135302053032400
12115803166b6990
13520449838289a
142193c6349aa60
15dd4955014d30
hex6d3fdb7190fc

120121032020220 has 576 divisors, whose sum is σ = 469543394073600. Its totient is φ = 24955447334400.

The previous prime is 120121032020089. The next prime is 120121032020239. The reversal of 120121032020220 is 22020230121021.

120121032020220 is a `hidden beast` number, since 1 + 2 + 0 + 121 + 0 + 320 + 2 + 0 + 220 = 666.

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 = 120121032020193 and 120121032020202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2716357710 + ... + 2716401930.

It is an arithmetic number, because the mean of its divisors is an integer number (815179503600).

Almost surely, 2120121032020220 is an apocalyptic number.

120121032020220 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 120121032020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234771697036800).

120121032020220 is an abundant number, since it is smaller than the sum of its proper divisors (349422362053380).

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

120121032020220 is a wasteful number, since it uses less digits than its factorization.

120121032020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50207 (or 50188 counting only the distinct ones).

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

Adding to 120121032020220 its reverse (22020230121021), we get a palindrome (142141262141241).

The spelling of 120121032020220 in words is "one hundred twenty trillion, one hundred twenty-one billion, thirty-two million, twenty thousand, two hundred twenty".