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112222231200132 = 2232310311467344257
BaseRepresentation
bin11001100001000011000110…
…001110100000000110000100
3112201100100012020121022000020
4121201003012032200012010
5104202122112141401012
61034402103054415140
732431534335202314
oct3141030616400604
9481310166538006
10112222231200132
11328371a9980949
12107055062014b0
134a80684866291
141d9d829237444
15ce9257711a8c
hex6610c63a0184

112222231200132 has 96 divisors (see below), whose sum is σ = 275914381596672. Its totient is φ = 35430419920896.

The previous prime is 112222231200113. The next prime is 112222231200133. The reversal of 112222231200132 is 231002132222211.

It is not an unprimeable number, because it can be changed into a prime (112222231200133) 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, 325811748 + ... + 326156004.

It is an arithmetic number, because the mean of its divisors is an integer number (2874108141632).

Almost surely, 2112222231200132 is an apocalyptic number.

112222231200132 is a gapful number since it is divisible by the number (12) 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 112222231200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137957190798336).

112222231200132 is an abundant number, since it is smaller than the sum of its proper divisors (163692150396540).

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

112222231200132 is a wasteful number, since it uses less digits than its factorization.

112222231200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355857 (or 355855 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 112222231200132 its reverse (231002132222211), we get a palindrome (343224363422343).

The spelling of 112222231200132 in words is "one hundred twelve trillion, two hundred twenty-two billion, two hundred thirty-one million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 103 138 206 276 309 412 618 1236 2369 4738 7107 9476 11467 14214 22934 28428 34401 45868 68802 137604 263741 344257 527482 688514 791223 1032771 1054964 1181101 1377028 1582446 2065542 2362202 3164892 3543303 4131084 4724404 7086606 7917911 14173212 15835822 23753733 27165323 31671644 35458471 47507466 54330646 70916942 81495969 95014932 106375413 108661292 141833884 162991938 212750826 325983876 425501652 815544833 1631089666 2446634499 3262179332 3947595019 4893268998 7895190038 9786537996 11842785057 15790380076 23685570114 47371140228 90794685437 181589370874 272384056311 363178741748 406602286957 544768112622 813204573914 1089536225244 1219806860871 1626409147828 2439613721742 4879227443484 9351852600011 18703705200022 28055557800033 37407410400044 56111115600066 112222231200132