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12132213302112 = 253204836169859
BaseRepresentation
bin1011000010001100000001…
…0000111010001101100000
31120221211100210201202010120
42300203000100322031200
53042233233101131422
641445243432000240
72361344361360501
oct260430020721540
946854323652116
1012132213302112
113958274139632
12143b379830080
136a00a7ca2627
142dd2b8dc8ba8
151608c022c45c
hexb08c043a360

12132213302112 has 48 divisors (see below), whose sum is σ = 31848619884480. Its totient is φ = 4043873009792.

The previous prime is 12132213302101. The next prime is 12132213302141. The reversal of 12132213302112 is 21120331223121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1118562 + ... + 5051297.

It is an arithmetic number, because the mean of its divisors is an integer number (663512914260).

Almost surely, 212132213302112 is an apocalyptic number.

12132213302112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12132213302112 is an abundant number, since it is smaller than the sum of its proper divisors (19716406582368).

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

12132213302112 is a wasteful number, since it uses less digits than its factorization.

12132213302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190355 (or 6190347 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12132213302112 its reverse (21120331223121), we get a palindrome (33252544525233).

The spelling of 12132213302112 in words is "twelve trillion, one hundred thirty-two billion, two hundred thirteen million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 20483 40966 61449 81932 122898 163864 245796 327728 491592 655456 983184 1966368 6169859 12339718 18509577 24679436 37019154 49358872 74038308 98717744 148076616 197435488 296153232 592306464 126377221897 252754443794 379131665691 505508887588 758263331382 1011017775176 1516526662764 2022035550352 3033053325528 4044071100704 6066106651056 12132213302112