Search a number
-
+
12270960000 = 273354131923
BaseRepresentation
bin10110110110110011…
…11111110110000000
31011200011222100121000
423123121333312000
5200112331210000
65345345132000
7613041303405
oct133331776600
934604870530
1012270960000
115227700962
12246562a000
1312073355a0
148459d22ac
154bc445000
hex2db67fd80

12270960000 has 1280 divisors, whose sum is σ = 53532864000. Its totient is φ = 2737152000.

The previous prime is 12270959999. The next prime is 12270960011. The reversal of 12270960000 is 6907221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 533519989 + ... + 533520011.

It is an arithmetic number, because the mean of its divisors is an integer number (41822550).

Almost surely, 212270960000 is an apocalyptic number.

12270960000 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 12270960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26766432000).

12270960000 is an abundant number, since it is smaller than the sum of its proper divisors (41261904000).

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

12270960000 is a wasteful number, since it uses less digits than its factorization.

12270960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 12270960000 in words is "twelve billion, two hundred seventy million, nine hundred sixty thousand".