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12355471040000 = 29541113725621
BaseRepresentation
bin1011001111001011101101…
…1101100101111000000000
31121202011122000112221010112
42303302323131211320000
53104413001041240000
642140005224050452
72413440043004504
oct263627335457000
947664560487115
1012355471040000
113a33a20328510
1214766a6303a28
136b81678a238a
1430a017cca304
151665da423235
hexb3cbb765e00

12355471040000 has 400 divisors, whose sum is σ = 33900025656816. Its totient is φ = 4459929600000.

The previous prime is 12355471039937. The next prime is 12355471040083. The reversal of 12355471040000 is 4017455321.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 482227190 + ... + 482252810.

Almost surely, 212355471040000 is an apocalyptic number.

12355471040000 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 12355471040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16950012828408).

12355471040000 is an abundant number, since it is smaller than the sum of its proper divisors (21544554616816).

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

12355471040000 is an equidigital number, since it uses as much as digits as its factorization.

12355471040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25807 (or 25776 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

Adding to 12355471040000 its reverse (4017455321), we get a palindrome (12359488495321).

The spelling of 12355471040000 in words is "twelve trillion, three hundred fifty-five billion, four hundred seventy-one million, forty thousand".