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12941019000 = 23335371323229
BaseRepresentation
bin11000000110101100…
…00100011101111000
31020101212210212202000
430003112010131320
5203000400102000
65540042541000
7635455563240
oct140326043570
936355725660
1012941019000
115540960128
122611b07760
1312b30c07c0
148aa9b4b20
1550b1a1000
hex303584778

12941019000 has 1024 divisors, whose sum is σ = 57867264000. Its totient is φ = 2600294400.

The previous prime is 12941018933. The next prime is 12941019011. The reversal of 12941019000 is 91014921.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×129410190002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56510886 + ... + 56511114.

It is an arithmetic number, because the mean of its divisors is an integer number (56511000).

Almost surely, 212941019000 is an apocalyptic number.

12941019000 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 12941019000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28933632000).

12941019000 is an abundant number, since it is smaller than the sum of its proper divisors (44926245000).

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

12941019000 is a wasteful number, since it uses less digits than its factorization.

12941019000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 12941019000 in words is "twelve billion, nine hundred forty-one million, nineteen thousand".