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221201001012 = 2231913925392749
BaseRepresentation
bin1100111000000010011…
…0110110101000110100
3210010221212201010102010
43032000212312220310
512111004424013022
6245341321044220
721660365325405
oct3160046665064
9703855633363
10221201001012
11858a1220042
1236a53926670
1317b2277baa4
14a9c5ab79ac
155b4987750c
hex33809b6a34

221201001012 has 96 divisors (see below), whose sum is σ = 547624000000. Its totient is φ = 69297876864.

The previous prime is 221201000989. The next prime is 221201001089. The reversal of 221201001012 is 210100102122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80464614 + ... + 80467362.

Almost surely, 2221201001012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221201001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273812000000).

221201001012 is an abundant number, since it is smaller than the sum of its proper divisors (326422998988).

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

221201001012 is a wasteful number, since it uses less digits than its factorization.

221201001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221201001012 its reverse (210100102122), we get a palindrome (431301103134).

The spelling of 221201001012 in words is "two hundred twenty-one billion, two hundred one million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 139 228 278 417 556 834 1668 2539 2641 2749 5078 5282 5498 7617 7923 8247 10156 10564 10996 15234 15846 16494 30468 31692 32988 48241 52231 96482 104462 144723 156693 192964 208924 289446 313386 352921 382111 578892 626772 705842 764222 1058763 1146333 1411684 1528444 2117526 2292666 4235052 4585332 6705499 6979711 7260109 13410998 13959422 14520218 20116497 20939133 21780327 26821996 27918844 29040436 40232994 41878266 43560654 80465988 83756532 87121308 132614509 265229018 397843527 530458036 795687054 970179829 1591374108 1940359658 2910539487 3880719316 5821078974 11642157948 18433416751 36866833502 55300250253 73733667004 110600500506 221201001012