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1221341472 = 2532131731619
BaseRepresentation
bin100100011001100…
…0011000100100000
310011010011120112100
41020303003010200
510000130411342
6321105330400
742160142211
oct11063030440
93133146470
101221341472
11577462a1a
122a1036a00
13166057380
14b82c7408
1572353e4c
hex48cc3120

1221341472 has 288 divisors, whose sum is σ = 4094737920. Its totient is φ = 341729280.

The previous prime is 1221341449. The next prime is 1221341479. The reversal of 1221341472 is 2741431221.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1221341479) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1972779 + ... + 1973397.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 21221341472 is an apocalyptic number.

1221341472 is a gapful number since it is divisible by the number (12) 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 1221341472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

1221341472 is an abundant number, since it is smaller than the sum of its proper divisors (2873396448).

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

1221341472 is a wasteful number, since it uses less digits than its factorization.

1221341472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 685 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 1221341472 is about 34947.6962330852. The cubic root of 1221341472 is about 1068.9212267775.

Adding to 1221341472 its reverse (2741431221), we get a palindrome (3962772693).

The spelling of 1221341472 in words is "one billion, two hundred twenty-one million, three hundred forty-one thousand, four hundred seventy-two".