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3330012121220 = 2252946549123341
BaseRepresentation
bin110000011101010100001…
…100001000100010000100
3102210100100021022000202102
4300131110030020202010
5414024331100334340
611025441512331232
7462404543001221
oct60352414104204
912710307260672
103330012121220
111074283035944
124594663a3b18
131b20323a8b05
14b725dd1a948
155b94bb23215
hex30754308884

3330012121220 has 48 divisors (see below), whose sum is σ = 7234378326000. Its totient is φ = 1286035591680.

The previous prime is 3330012121181. The next prime is 3330012121231. The reversal of 3330012121220 is 221212100333.

It can be written as a sum of positive squares in 8 ways, for example, as 940934920324 + 2389077200896 = 970018^2 + 1545664^2 .

It is a super-2 number, since 2×33300121212202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3330012121192 and 3330012121201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26936750 + ... + 27060090.

It is an arithmetic number, because the mean of its divisors is an integer number (150716215125).

Almost surely, 23330012121220 is an apocalyptic number.

It is an amenable number.

3330012121220 is an abundant number, since it is smaller than the sum of its proper divisors (3904366204780).

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

3330012121220 is a wasteful number, since it uses less digits than its factorization.

3330012121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169928 (or 169926 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3330012121220 its reverse (221212100333), we get a palindrome (3551224221553).

The spelling of 3330012121220 in words is "three trillion, three hundred thirty billion, twelve million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 46549 93098 123341 186196 232745 246682 465490 493364 616705 930980 1233410 1349921 2466820 2699842 3576889 5399684 6749605 7153778 13499210 14307556 17884445 26998420 35768890 71537780 5741400209 11482800418 22965600836 28707001045 57414002090 114828004180 166500606061 333001212122 666002424244 832503030305 1665006060610 3330012121220