Search a number
-
+
12320322034020 = 223571113211972197
BaseRepresentation
bin1011001101001000110001…
…1010110001100101100100
31121121210220102111102102020
42303102030122301211210
53103324004420042040
642111513334543140
72411054031251430
oct263221432614544
947553812442366
1012320322034020
113a20023664040
12146b916b07ab0
136b4a5583a0a0
14308441ab39c0
1516572e75ccd0
hexb348c6b1964

12320322034020 has 384 divisors, whose sum is σ = 46537080532992. Its totient is φ = 2351936563200.

The previous prime is 12320322034019. The next prime is 12320322034037. The reversal of 12320322034020 is 2043022302321.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12186562 + ... + 13158758.

It is an arithmetic number, because the mean of its divisors is an integer number (121190313888).

Almost surely, 212320322034020 is an apocalyptic number.

12320322034020 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 12320322034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23268540266496).

12320322034020 is an abundant number, since it is smaller than the sum of its proper divisors (34216758498972).

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

12320322034020 is a wasteful number, since it uses less digits than its factorization.

12320322034020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972451 (or 972449 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12320322034020 its reverse (2043022302321), we get a palindrome (14363344336341).

The spelling of 12320322034020 in words is "twelve trillion, three hundred twenty billion, three hundred twenty-two million, thirty-four thousand, twenty".