Search a number
-
+
120012202012000 = 255389973475391
BaseRepresentation
bin11011010010011010000100…
…101010110110110101100000
3120201221001110201000110122211
4123102122010222312311200
5111212234442203341000
61103124502224211504
734164411146445154
oct3322320452666540
9521831421013584
10120012202012000
113526a986362451
1211563203769b94
1351c71433a150c
14218c89b835064
15dd1bd59cb7ba
hex6d2684ab6d60

120012202012000 has 192 divisors, whose sum is σ = 301257265720320. Its totient is φ = 46976151552000.

The previous prime is 120012202011959. The next prime is 120012202012039. The reversal of 120012202012000 is 210202210021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32794305 + ... + 36269695.

It is an arithmetic number, because the mean of its divisors is an integer number (1569048258960).

Almost surely, 2120012202012000 is an apocalyptic number.

120012202012000 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 120012202012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150628632860160).

120012202012000 is an abundant number, since it is smaller than the sum of its proper divisors (181245063708320).

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

120012202012000 is an equidigital number, since it uses as much as digits as its factorization.

120012202012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475602 (or 3475584 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120012202012000 its reverse (210202210021), we get a palindrome (120222404222021).

The spelling of 120012202012000 in words is "one hundred twenty trillion, twelve billion, two hundred two million, twelve thousand".