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1012201221000 = 23353337400407
BaseRepresentation
bin11101011101010111110…
…01001110101110001000
310120202200001011200011010
432232223321032232020
5113040442003033000
62052555425003520
7133062201263634
oct16565371165610
93522601150133
101012201221000
113602aa223912
121442081835a0
13745b1024338
1436dc2a83dc4
151b4e29d2d50
hexebabe4eb88

1012201221000 has 64 divisors (see below), whose sum is σ = 3158067818880. Its totient is φ = 269920324800.

The previous prime is 1012201220941. The next prime is 1012201221007. The reversal of 1012201221000 is 1221022101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1012201221007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 168697204 + ... + 168703203.

It is an arithmetic number, because the mean of its divisors is an integer number (49344809670).

Almost surely, 21012201221000 is an apocalyptic number.

1012201221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012201221000 is an abundant number, since it is smaller than the sum of its proper divisors (2145866597880).

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

1012201221000 is a wasteful number, since it uses less digits than its factorization.

1012201221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337400431 (or 337400417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012201221000 its reverse (1221022101), we get a palindrome (1013422243101).

The spelling of 1012201221000 in words is "one trillion, twelve billion, two hundred one million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 337400407 674800814 1012201221 1349601628 1687002035 2024402442 2699203256 3374004070 4048804884 5061006105 6748008140 8097609768 8435010175 10122012210 13496016280 16870020350 20244024420 25305030525 33740040700 40488048840 42175050875 50610061050 67480081400 84350101750 101220122100 126525152625 168700203500 202440244200 253050305250 337400407000 506100610500 1012201221000