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12302011201032 = 2332773941355331
BaseRepresentation
bin1011001100000100100100…
…0000011111011000001000
31121120001122022102201200200
42303001021000133120020
53103024004331413112
642055244350132200
72406535206610620
oct263011100373010
947501568381620
1012302011201032
113a13287679213
1214682667b1060
136b30c80b7c77
143075c5c93880
1516500be55cdc
hexb304901f608

12302011201032 has 192 divisors, whose sum is σ = 38640393567360. Its totient is φ = 3463017753600.

The previous prime is 12302011201027. The next prime is 12302011201049. The reversal of 12302011201032 is 23010211020321.

12302011201032 is a `hidden beast` number, since 1 + 230 + 201 + 1 + 201 + 0 + 32 = 666.

It is a super-2 number, since 2×123020112010322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12302011200996 and 12302011201014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34443607 + ... + 34798937.

It is an arithmetic number, because the mean of its divisors is an integer number (201252049830).

Almost surely, 212302011201032 is an apocalyptic number.

12302011201032 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 12302011201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19320196783680).

12302011201032 is an abundant number, since it is smaller than the sum of its proper divisors (26338382366328).

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

12302011201032 is a wasteful number, since it uses less digits than its factorization.

12302011201032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356364 (or 356357 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12302011201032 its reverse (23010211020321), we get a palindrome (35312222221353).

The spelling of 12302011201032 in words is "twelve trillion, three hundred two billion, eleven million, two hundred one thousand, thirty-two".