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12030147365040 = 243657293132779
BaseRepresentation
bin1010111100001111110010…
…1010010000100010110000
31120121001220122122221000000
42233003330222100202300
53034100220211140130
641330323504430000
72351102160255030
oct257037452204260
946531818587000
1012030147365040
113918a58620422
121423634018300
1369359047041c
142d83958278c0
1515cde9958260
hexaf0fca908b0

12030147365040 has 1120 divisors, whose sum is σ = 51180352819200. Its totient is φ = 2569207818240.

The previous prime is 12030147364993. The next prime is 12030147365053. The reversal of 12030147365040 is 4056374103021.

12030147365040 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 0 + 147 + 3 + 6 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12030147364986 and 12030147365004.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 366991371 + ... + 367024149.

Almost surely, 212030147365040 is an apocalyptic number.

12030147365040 is a gapful number since it is divisible by the number (10) 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 12030147365040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25590176409600).

12030147365040 is an abundant number, since it is smaller than the sum of its proper divisors (39150205454160).

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

12030147365040 is a wasteful number, since it uses less digits than its factorization.

12030147365040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32877 (or 32856 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 12030147365040 in words is "twelve trillion, thirty billion, one hundred forty-seven million, three hundred sixty-five thousand, forty".