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1221304040 = 23511191391051
BaseRepresentation
bin100100011001011…
…1001111011101000
310011010002200011222
41020302321323220
510000123212130
6321104441212
742156625115
oct11062717350
93133080158
101221304040
11577437890
122a1019208
13166043318
14b82b790c
1572347ce5
hex48cb9ee8

1221304040 has 128 divisors (see below), whose sum is σ = 3181248000. Its totient is φ = 417312000.

The previous prime is 1221304037. The next prime is 1221304067. The reversal of 1221304040 is 404031221.

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, 1161515 + ... + 1162565.

It is an arithmetic number, because the mean of its divisors is an integer number (24853500).

Almost surely, 21221304040 is an apocalyptic number.

1221304040 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 1221304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590624000).

1221304040 is an abundant number, since it is smaller than the sum of its proper divisors (1959943960).

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

1221304040 is a wasteful number, since it uses less digits than its factorization.

1221304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1221304040 is about 34947.1606858125. The cubic root of 1221304040 is about 1068.9103064714.

Adding to 1221304040 its reverse (404031221), we get a palindrome (1625335261).

The spelling of 1221304040 in words is "one billion, two hundred twenty-one million, three hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 139 152 190 209 220 278 380 418 440 556 695 760 836 1045 1051 1112 1390 1529 1672 2090 2102 2641 2780 3058 4180 4204 5255 5282 5560 6116 7645 8360 8408 10510 10564 11561 12232 13205 15290 19969 21020 21128 23122 26410 29051 30580 39938 42040 46244 52820 57805 58102 61160 79876 92488 99845 105640 115610 116204 145255 146089 159752 199690 219659 231220 232408 290510 292178 399380 439318 462440 581020 584356 730445 798760 878636 1098295 1162040 1168712 1460890 1606979 1757272 2196590 2775691 2921780 3213958 4393180 5551382 5843560 6427916 8034895 8786360 11102764 12855832 13878455 16069790 22205528 27756910 30532601 32139580 55513820 61065202 64279160 111027640 122130404 152663005 244260808 305326010 610652020 1221304040