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1221013120 = 2753161543
BaseRepresentation
bin100100011000111…
…0010111010000000
310011002112220010011
41020301302322000
510000034404440
6321054314304
742154304005
oct11061627200
93132486104
101221013120
11577259258
122a0ab8994
13165c70a92
14b823d8ac
15722db9ea
hex48c72e80

1221013120 has 64 divisors (see below), whose sum is σ = 3013194240. Its totient is φ = 472642560.

The previous prime is 1221013109. The next prime is 1221013127. The reversal of 1221013120 is 213101221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1221013120.

It is not an unprimeable number, because it can be changed into a prime (1221013127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10932 + ... + 50611.

It is an arithmetic number, because the mean of its divisors is an integer number (47081160).

Almost surely, 21221013120 is an apocalyptic number.

1221013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221013120 is an abundant number, since it is smaller than the sum of its proper divisors (1792181120).

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

1221013120 is an equidigital number, since it uses as much as digits as its factorization.

1221013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61593 (or 61581 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1221013120 is about 34942.9981541367. The cubic root of 1221013120 is about 1068.8254266842.

Adding to 1221013120 its reverse (213101221), we get a palindrome (1434114341).

The spelling of 1221013120 in words is "one billion, two hundred twenty-one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 61543 123086 246172 307715 492344 615430 984688 1230860 1907833 1969376 2461720 3815666 3938752 4923440 7631332 7877504 9539165 9846880 15262664 19078330 19693760 30525328 38156660 39387520 61050656 76313320 122101312 152626640 244202624 305253280 610506560 1221013120