Search a number
-
+
1221200000 = 27554371
BaseRepresentation
bin100100011001010…
…0000100010000000
310011002220101110122
41020302200202000
510000111400000
6321102315412
742156012566
oct11062404200
93132811418
101221200000
115773766a9
122a0b88b68
13166007b67
14b828ba36
1572327085
hex48ca0880

1221200000 has 192 divisors, whose sum is σ = 3155423040. Its totient is φ = 470400000.

The previous prime is 1221199963. The next prime is 1221200011. The reversal of 1221200000 is 21221.

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 23 ways as a sum of consecutive naturals, for example, 17199965 + ... + 17200035.

It is an arithmetic number, because the mean of its divisors is an integer number (16434495).

Almost surely, 21221200000 is an apocalyptic number.

1221200000 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 1221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577711520).

1221200000 is an abundant number, since it is smaller than the sum of its proper divisors (1934223040).

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

1221200000 is an frugal number, since it uses more digits than its factorization.

1221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 121 counting only the distinct ones).

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

The square root of 1221200000 is about 34945.6721211654. The cubic root of 1221200000 is about 1068.8799529633.

Adding to 1221200000 its reverse (21221), we get a palindrome (1221221221).

The spelling of 1221200000 in words is "one billion, two hundred twenty-one million, two hundred thousand".