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1299940224000 = 210353111743421
BaseRepresentation
bin10010111010101010011…
…110011010110000000000
311121021101001212111222020
4102322222132122300000
5132244234144132000
62433103450241440
7162626505406335
oct22725236326000
94537331774866
101299940224000
11461335404640
1218bb2b426280
13957788c8422
1446cbb66898c
1523c33a68ba0
hex12eaa79ac00

1299940224000 has 1408 divisors, whose sum is σ = 5122964081664. Its totient is φ = 289013760000.

The previous prime is 1299940223971. The next prime is 1299940224001. The reversal of 1299940224000 is 4220499921.

It is a tau number, because it is divible by the number of its divisors (1408).

It is not an unprimeable number, because it can be changed into a prime (1299940224001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3087743790 + ... + 3087744210.

It is an arithmetic number, because the mean of its divisors is an integer number (3638468808).

Almost surely, 21299940224000 is an apocalyptic number.

1299940224000 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 1299940224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561482040832).

1299940224000 is an abundant number, since it is smaller than the sum of its proper divisors (3823023857664).

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

1299940224000 is a wasteful number, since it uses less digits than its factorization.

1299940224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 1299940224000 in words is "one trillion, two hundred ninety-nine billion, nine hundred forty million, two hundred twenty-four thousand".