Search a number
-
+
200322120012000 = 25353711321104311
BaseRepresentation
bin101101100011000100100000…
…110011011101000011100000
3222021021121101222021010022020
4231203010200303131003200
5202224034200210341000
61550014413403141440
760123536610250110
oct5543044063350340
9867247358233266
10200322120012000
11589131523a5aa8
121a573928814880
1387a13aaa6bc8c
1437678dc827040
151825c88685ba0
hexb63120cdd0e0

200322120012000 has 384 divisors, whose sum is σ = 756643274569728. Its totient is φ = 45382708224000.

The previous prime is 200322120011989. The next prime is 200322120012029. The reversal of 200322120012000 is 210021223002.

It is a happy number.

It is a super-2 number, since 2×2003221200120002 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1060156 + ... + 20044155.

It is an arithmetic number, because the mean of its divisors is an integer number (1970425194192).

Almost surely, 2200322120012000 is an apocalyptic number.

200322120012000 is a gapful number since it is divisible by the number (20) 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 200322120012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378321637284864).

200322120012000 is an abundant number, since it is smaller than the sum of its proper divisors (556321154557728).

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

200322120012000 is a wasteful number, since it uses less digits than its factorization.

200322120012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21104459 (or 21104441 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 200322120012000 its reverse (210021223002), we get a palindrome (200532141235002).

The spelling of 200322120012000 in words is "two hundred trillion, three hundred twenty-two billion, one hundred twenty million, twelve thousand".