Search a number
-
+
120011201032200 = 233524126918135703
BaseRepresentation
bin11011010010011001001001…
…000000011011000000001000
3120201220221212221111102111220
4123102121021000123000020
5111212230414431012300
61103124215025522040
734164344303323542
oct3322311100330010
9521827787442456
10120011201032200
113526a51232a515
1211562b844a3320
1351c7013bb038a
14218c804910692
15dd1b77ba4da0
hex6d264901b008

120011201032200 has 192 divisors, whose sum is σ = 382525523049600. Its totient is φ = 31106356070400.

The previous prime is 120011201032189. The next prime is 120011201032211. The reversal of 120011201032200 is 2230102110021.

It is an interprime number because it is at equal distance from previous prime (120011201032189) and next prime (120011201032211).

It is a super-2 number, since 2×1200112010322002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120011201032200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2450452 + ... + 15685251.

It is an arithmetic number, because the mean of its divisors is an integer number (1992320432550).

Almost surely, 2120011201032200 is an apocalyptic number.

120011201032200 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 120011201032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191262761524800).

120011201032200 is an abundant number, since it is smaller than the sum of its proper divisors (262514322017400).

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

120011201032200 is a wasteful number, since it uses less digits than its factorization.

120011201032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18136032 (or 18136023 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120011201032200 its reverse (2230102110021), we get a palindrome (122241303142221).

The spelling of 120011201032200 in words is "one hundred twenty trillion, eleven billion, two hundred one million, thirty-two thousand, two hundred".