| Base | Representation |
|---|---|
| bin | 11011010010100100010000… |
| … | …001001100100100000011000 |
| 3 | 120201222002200102202222000100 |
| 4 | 123102210100021210200120 |
| 5 | 111212424333244443000 |
| 6 | 1103133510552335400 |
| 7 | 34165246046203602 |
| oct | 3322442011444030 |
| 9 | 521862612688010 |
| 10 | 120023132031000 |
| 11 | 35274585042500 |
| 12 | 115653540a4560 |
| 13 | 51c8195965b93 |
| 14 | 218d2172ca172 |
| 15 | dd2125345a00 |
| hex | 6d2910264818 |
120023132031000 has 1152 divisors, whose sum is σ = 469926639000000. Its totient is φ = 27533011968000.
The previous prime is 120023132030999. The next prime is 120023132031001. The reversal of 120023132031000 is 130231320021.
120023132031000 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 2 + 31 + 320 + 310 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (120023132030999) and next prime (120023132031001).
It is a super-3 number, since 3×1200231320310003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (120023132031001) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20877216126 + ... + 20877221874.
Almost surely, 2120023132031000 is an apocalyptic number.
120023132031000 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 120023132031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234963319500000).
120023132031000 is an abundant number, since it is smaller than the sum of its proper divisors (349903506969000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120023132031000 is a wasteful number, since it uses less digits than its factorization.
120023132031000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6826 (or 6798 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 120023132031000 its reverse (130231320021), we get a palindrome (120153363351021).
The spelling of 120023132031000 in words is "one hundred twenty trillion, twenty-three billion, one hundred thirty-two million, thirty-one thousand".
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