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1221001230132 = 22321092293135701
BaseRepresentation
bin10001110001001001010…
…110000011011100110100
311022201121200020010202200
4101301021112003130310
5130001102303331012
62332530433504500
7154133356133145
oct21611126033464
94281550203680
101221001230132
114309073aa132
1217877aa12130
138b1a85406b8
144314d79bacc
1521b637cc3dc
hex11c49583734

1221001230132 has 72 divisors (see below), whose sum is σ = 3116116883880. Its totient is φ = 403087622400.

The previous prime is 1221001230131. The next prime is 1221001230133. The reversal of 1221001230132 is 2310321001221.

It is an interprime number because it is at equal distance from previous prime (1221001230131) and next prime (1221001230133).

It can be written as a sum of positive squares in 4 ways, for example, as 51891017616 + 1169110212516 = 227796^2 + 1081254^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221001230131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8929882 + ... + 9065582.

It is an arithmetic number, because the mean of its divisors is an integer number (43279401165).

Almost surely, 21221001230132 is an apocalyptic number.

1221001230132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221001230132 is an abundant number, since it is smaller than the sum of its proper divisors (1895115653748).

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

1221001230132 is a wasteful number, since it uses less digits than its factorization.

1221001230132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138113 (or 138108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1221001230132 its reverse (2310321001221), we get a palindrome (3531322231353).

The spelling of 1221001230132 in words is "one trillion, two hundred twenty-one billion, one million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 2293 3924 4586 6879 9172 13758 20637 27516 41274 82548 135701 249937 271402 407103 499874 542804 749811 814206 999748 1221309 1499622 1628412 2249433 2442618 2999244 4498866 4885236 8997732 14791409 29582818 44374227 59165636 88748454 133122681 177496908 266245362 311162393 532490724 622324786 933487179 1244649572 1866974358 2800461537 3733948716 5600923074 11201846148 33916700837 67833401674 101750102511 135666803348 203500205022 305250307533 407000410044 610500615066 1221001230132