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1222144000 = 2125371131
BaseRepresentation
bin100100011011000…
…0111000000000000
310011011200100101121
41020312013000000
510000332102000
6321134442024
742200024020
oct11066070000
93134610347
101222144000
11577960970
122a1363314
1316627873c
14b8455a80
1572461b1a
hex48d87000

1222144000 has 416 divisors, whose sum is σ = 3925389312. Its totient is φ = 368640000.

The previous prime is 1222143997. The next prime is 1222144039. The reversal of 1222144000 is 4412221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39423985 + ... + 39424015.

It is an arithmetic number, because the mean of its divisors is an integer number (9436032).

Almost surely, 21222144000 is an apocalyptic number.

1222144000 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 1222144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962694656).

1222144000 is an abundant number, since it is smaller than the sum of its proper divisors (2703245312).

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

1222144000 is an equidigital number, since it uses as much as digits as its factorization.

1222144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1222144000 is about 34959.1761916668. The cubic root of 1222144000 is about 1069.1553003790.

Adding to 1222144000 its reverse (4412221), we get a palindrome (1226556221).

The spelling of 1222144000 in words is "one billion, two hundred twenty-two million, one hundred forty-four thousand".