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12273023642880 = 28357111331127811
BaseRepresentation
bin1011001010011000100100…
…1101101110110100000000
31121110021211010020012102210
42302212021031232310000
53102040123023033010
642034052122142120
72404460652462360
oct262461115566400
947407733205383
1012273023642880
113a01a61986790
121462716951940
136b04586c81b0
143060360b49a0
151643b2169b20
hexb298936ed00

12273023642880 has 2304 divisors, whose sum is σ = 54821054840832. Its totient is φ = 2257403904000.

The previous prime is 12273023642837. The next prime is 12273023642933. The reversal of 12273023642880 is 8824632037221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15133197675 + ... + 15133198485.

It is an arithmetic number, because the mean of its divisors is an integer number (23793860608).

Almost surely, 212273023642880 is an apocalyptic number.

12273023642880 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 12273023642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27410527420416).

12273023642880 is an abundant number, since it is smaller than the sum of its proper divisors (42548031197952).

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

12273023642880 is a wasteful number, since it uses less digits than its factorization.

12273023642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

It can be divided in two parts, 12273023 and 642880, that added together give a triangular number (12915903 = T5082).

The spelling of 12273023642880 in words is "twelve trillion, two hundred seventy-three billion, twenty-three million, six hundred forty-two thousand, eight hundred eighty".