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1221801408 = 26342111117
BaseRepresentation
bin100100011010011…
…0011010111000000
310011011000221110000
41020310303113000
510000240121113
6321123240000
742164066142
oct11064632700
93134027400
101221801408
11577747533
122a1219000
13166188819
14b83a6c92
15723e5373
hex48d335c0

1221801408 has 140 divisors (see below), whose sum is σ = 3642224872. Its totient is φ = 404974080.

The previous prime is 1221801397. The next prime is 1221801461. The reversal of 1221801408 is 8041081221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1093266 + ... + 1094382.

Almost surely, 21221801408 is an apocalyptic number.

1221801408 is a gapful number since it is divisible by the number (18) 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 1221801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821112436).

1221801408 is an abundant number, since it is smaller than the sum of its proper divisors (2420423464).

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

1221801408 is a wasteful number, since it uses less digits than its factorization.

1221801408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1221801408 is about 34954.2759616045. The cubic root of 1221801408 is about 1069.0553889982.

Adding to 1221801408 its reverse (8041081221), we get a palindrome (9262882629).

The spelling of 1221801408 in words is "one billion, two hundred twenty-one million, eight hundred one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 211 216 288 324 422 432 576 633 648 844 864 1117 1266 1296 1688 1728 1899 2234 2532 2592 3351 3376 3798 4468 5064 5184 5697 6702 6752 7596 8936 10053 10128 11394 13404 13504 15192 17091 17872 20106 20256 22788 26808 30159 30384 34182 35744 40212 40512 45576 53616 60318 60768 68364 71488 80424 90477 91152 107232 120636 121536 136728 160848 180954 182304 214464 235687 241272 273456 321696 361908 364608 471374 482544 546912 643392 707061 723816 942748 965088 1093824 1414122 1447632 1885496 1930176 2121183 2828244 2895264 3770992 4242366 5656488 5790528 6363549 7541984 8484732 11312976 12727098 15083968 16969464 19090647 22625952 25454196 33938928 38181294 45251904 50908392 67877856 76362588 101816784 135755712 152725176 203633568 305450352 407267136 610900704 1221801408