Search a number
-
+
1200033231120 = 2432561127215143
BaseRepresentation
bin10001011101100111100…
…011011111000100010000
311020201111101020102111200
4101131213203133010100
5124130132001343440
62315142044511200
7152461641106533
oct21354743370420
94221441212450
101200033231120
11422a27524129
121746a884b500
13892164515a9
1442120ad8a1a
1521337aa1c30
hex117678df110

1200033231120 has 240 divisors, whose sum is σ = 4128451571712. Its totient is φ = 312282915840.

The previous prime is 1200033231101. The next prime is 1200033231157. The reversal of 1200033231120 is 211323300021.

1200033231120 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 332 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1200033231093 and 1200033231102.

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, 5470269 + ... + 5685411.

Almost surely, 21200033231120 is an apocalyptic number.

1200033231120 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 1200033231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064225785856).

1200033231120 is an abundant number, since it is smaller than the sum of its proper divisors (2928418340592).

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

1200033231120 is a wasteful number, since it uses less digits than its factorization.

1200033231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215350 (or 215341 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1200033231120 its reverse (211323300021), we get a palindrome (1411356531141).

The spelling of 1200033231120 in words is "one trillion, two hundred billion, thirty-three million, two hundred thirty-one thousand, one hundred twenty".