Search a number
-
+
3223032120000 = 26345471112919
BaseRepresentation
bin101110111001101011101…
…011110100001011000000
3102102010012122112212220000
4232321223223310023000
5410301232210320000
610504350203520000
7451566511666020
oct56715353641300
912363178485800
103223032120000
1110329756755a0
1244078ab29000
131a4c13776144
14b1dd1c67a80
1558c89c20000
hex2ee6baf42c0

3223032120000 has 1400 divisors, whose sum is σ = 14885858000640. Its totient is φ = 669669120000.

The previous prime is 3223032119999. The next prime is 3223032120001. The reversal of 3223032120000 is 212303223.

It is a happy number.

3223032120000 is a `hidden beast` number, since 322 + 3 + 0 + 321 + 20 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3223032119999) and next prime (3223032120001).

It is a tau number, because it is divible by the number of its divisors (1400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3223032120001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 249473541 + ... + 249486459.

Almost surely, 23223032120000 is an apocalyptic number.

3223032120000 is a gapful number since it is divisible by the number (30) 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 3223032120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442929000320).

3223032120000 is an abundant number, since it is smaller than the sum of its proper divisors (11662825880640).

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

3223032120000 is a wasteful number, since it uses less digits than its factorization.

3223032120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12981 (or 12947 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3223032120000 its reverse (212303223), we get a palindrome (3223244423223).

The spelling of 3223032120000 in words is "three trillion, two hundred twenty-three billion, thirty-two million, one hundred twenty thousand".