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1221043020 = 2235174992399
BaseRepresentation
bin100100011000111…
…1010001101001100
310011002121102010120
41020301322031030
510000041334040
6321055104540
742154460121
oct11061721514
93132542116
101221043020
1157727976a
122a0b12150
13165c81582
14b824a748
15722e57d0
hex48c7a34c

1221043020 has 96 divisors (see below), whose sum is σ = 3628800000. Its totient is φ = 305716224.

The previous prime is 1221043013. The next prime is 1221043079. The reversal of 1221043020 is 203401221.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 507781 + ... + 510179.

It is an arithmetic number, because the mean of its divisors is an integer number (37800000).

Almost surely, 21221043020 is an apocalyptic number.

1221043020 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 1221043020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400000).

1221043020 is an abundant number, since it is smaller than the sum of its proper divisors (2407756980).

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

1221043020 is a wasteful number, since it uses less digits than its factorization.

1221043020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1221043020 is about 34943.4259911646. The cubic root of 1221043020 is about 1068.8341510293.

Adding to 1221043020 its reverse (203401221), we get a palindrome (1424444241).

The spelling of 1221043020 in words is "one billion, two hundred twenty-one million, forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 499 510 998 1020 1497 1996 2399 2495 2994 4798 4990 5988 7197 7485 8483 9596 9980 11995 14394 14970 16966 23990 25449 28788 29940 33932 35985 40783 42415 47980 50898 71970 81566 84830 101796 122349 127245 143940 163132 169660 203915 244698 254490 407830 489396 508980 611745 815660 1197101 1223490 2394202 2446980 3591303 4788404 5985505 7182606 11971010 14365212 17956515 20350717 23942020 35913030 40701434 61052151 71826060 81402868 101753585 122104302 203507170 244208604 305260755 407014340 610521510 1221043020