Search a number
-
+
1012212110000 = 245472131311213
BaseRepresentation
bin11101011101011001000…
…10110001001010110000
310120202200210122220001102
432232230202301022300
5113041002300010000
62053000454223532
7133062362655200
oct16565442611260
93522623586042
101012212110000
11360305390993
1214420b954ba8
13745b3367730
1436dc42ba400
151b4e39343d5
hexebac8b12b0

1012212110000 has 600 divisors, whose sum is σ = 3096051933744. Its totient is φ = 317640960000.

The previous prime is 1012212109981. The next prime is 1012212110053. The reversal of 1012212110000 is 112122101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 834469394 + ... + 834470606.

Almost surely, 21012212110000 is an apocalyptic number.

1012212110000 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 1012212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548025966872).

1012212110000 is an abundant number, since it is smaller than the sum of its proper divisors (2083839823744).

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

1012212110000 is a wasteful number, since it uses less digits than its factorization.

1012212110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1012212110000 its reverse (112122101), we get a palindrome (1012324232101).

The spelling of 1012212110000 in words is "one trillion, twelve billion, two hundred twelve million, one hundred ten thousand".