Search a number
-
+
1201200000000 = 21035871113
BaseRepresentation
bin10001011110101101000…
…110010110110000000000
311020211111200201102111220
4101132231012112300000
5124140024200000000
62315453524435040
7152532566351220
oct21365506266000
94224450642456
101201200000000
114234760a2930
12174973548a80
13893710ac190
14421d1a58080
15213a52261a0
hex117ad196c00

1201200000000 has 1584 divisors, whose sum is σ = 5373372248832. Its totient is φ = 230400000000.

The previous prime is 1201199999911. The next prime is 1201200000043. The reversal of 1201200000000 is 21021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92399999994 + ... + 92400000006.

Almost surely, 21201200000000 is an apocalyptic number.

1201200000000 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 1201200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686686124416).

1201200000000 is an abundant number, since it is smaller than the sum of its proper divisors (4172172248832).

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

1201200000000 is an frugal number, since it uses more digits than its factorization.

1201200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1201200000000 its reverse (21021), we get a palindrome (1201200021021).

The spelling of 1201200000000 in words is "one trillion, two hundred one billion, two hundred million", and thus it is an aban number.