Search a number
-
+
1201022000000 = 27564631297
BaseRepresentation
bin10001011110100010011…
…111010101101110000000
311020211001021210002102022
4101132202133111232000
5124134143113000000
62315424125341012
7152525305362614
oct21364237255600
94224037702368
101201022000000
11423394676899
12174923a07768
1389343258734
14421b6161344
15213947b5585
hex117a27d5b80

1201022000000 has 224 divisors, whose sum is σ = 2999558480160. Its totient is φ = 479001600000.

The previous prime is 1201021999987. The next prime is 1201022000029. The reversal of 1201022000000 is 2201021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 925999352 + ... + 926000648.

Almost surely, 21201022000000 is an apocalyptic number.

1201022000000 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 1201022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499779240080).

1201022000000 is an abundant number, since it is smaller than the sum of its proper divisors (1798536480160).

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

1201022000000 is an frugal number, since it uses more digits than its factorization.

1201022000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1767 counting only the distinct ones).

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

Adding to 1201022000000 its reverse (2201021), we get a palindrome (1201024201021).

The spelling of 1201022000000 in words is "one trillion, two hundred one billion, twenty-two million", and thus it is an aban number.