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11120120004 = 22372292931973
BaseRepresentation
bin10100101101100111…
…11001000011000100
31001200222110121220110
422112303321003010
5140233222320004
65035234433020
7542365313640
oct122663710304
931628417813
1011120120004
114797021824
1221a4132770
131082a94086
14776c1bc20
154513ba589
hex296cf90c4

11120120004 has 96 divisors (see below), whose sum is σ = 29899941120. Its totient is φ = 3150908928.

The previous prime is 11120119979. The next prime is 11120120009. The reversal of 11120120004 is 40002102111.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (11120120009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5635162 + ... + 5637134.

It is an arithmetic number, because the mean of its divisors is an integer number (311457720).

Almost surely, 211120120004 is an apocalyptic number.

11120120004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11120120004 is an abundant number, since it is smaller than the sum of its proper divisors (18779821116).

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

11120120004 is a wasteful number, since it uses less digits than its factorization.

11120120004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2507 counting only the distinct ones).

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

Adding to 11120120004 its reverse (40002102111), we get a palindrome (51122222115).

The spelling of 11120120004 in words is "eleven billion, one hundred twenty million, one hundred twenty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 229 293 458 586 687 879 916 1172 1374 1603 1758 1973 2051 2748 3206 3516 3946 4102 4809 5919 6153 6412 7892 8204 9618 11838 12306 13811 19236 23676 24612 27622 41433 55244 67097 82866 134194 165732 201291 268388 402582 451817 469679 578089 805164 903634 939358 1156178 1355451 1409037 1734267 1807268 1878716 2312356 2710902 2818074 3162719 3468534 4046623 5421804 5636148 6325438 6937068 8093246 9488157 12139869 12650876 16186492 18976314 24279738 37952628 48559476 132382381 264764762 397147143 529529524 794294286 926676667 1588588572 1853353334 2780030001 3706706668 5560060002 11120120004