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1221122401 = 29191449491
BaseRepresentation
bin100100011001000…
…1101100101100001
310011002202110000121
41020302031211201
510000101404101
6321100520241
742155240422
oct11062154541
93132673017
101221122401
11577323374
122a0b50081
13165cab745
14b826b649
157230e0a1
hex48c8d961

1221122401 has 16 divisors (see below), whose sum is σ = 1275264000. Its totient is φ = 1167846400.

The previous prime is 1221122389. The next prime is 1221122447. The reversal of 1221122401 is 1042211221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1221122401 is a prime.

It is a super-2 number, since 2×12211224012 = 2982279836448009602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1221122501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2486766 + ... + 2487256.

It is an arithmetic number, because the mean of its divisors is an integer number (79704000).

Almost surely, 21221122401 is an apocalyptic number.

It is an amenable number.

1221122401 is a deficient number, since it is larger than the sum of its proper divisors (54141599).

1221122401 is a wasteful number, since it uses less digits than its factorization.

1221122401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160.

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1221122401 is about 34944.5618229790. The cubic root of 1221122401 is about 1068.8573124533.

Adding to 1221122401 its reverse (1042211221), we get a palindrome (2263333622).

The spelling of 1221122401 in words is "one billion, two hundred twenty-one million, one hundred twenty-two thousand, four hundred one".

Divisors: 1 29 191 449 491 5539 13021 14239 85759 93781 220459 2487011 2719649 6393311 42107669 1221122401