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212002120020 = 223524771426471
BaseRepresentation
bin1100010101110001001…
…1111010000101010100
3202021012210101112222010
43011130103322011110
511433140020320040
6241220433104220
721213416200365
oct3053423720524
9667183345863
10212002120020
1181a00740659
12351070b8070
1316cb7a46942
14a3920d1b6c
1557abeb2e80
hex315c4fa154

212002120020 has 48 divisors (see below), whose sum is σ = 593845999488. Its totient is φ = 56511035520.

The previous prime is 212002120019. The next prime is 212002120021. The reversal of 212002120020 is 20021200212.

It is an interprime number because it is at equal distance from previous prime (212002120019) and next prime (212002120021).

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

It is a junction number, because it is equal to n+sod(n) for n = 212002119978 and 212002120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002120021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564616 + ... + 861855.

It is an arithmetic number, because the mean of its divisors is an integer number (12371791656).

Almost surely, 2212002120020 is an apocalyptic number.

212002120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002120020 is an abundant number, since it is smaller than the sum of its proper divisors (381843879468).

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

212002120020 is a wasteful number, since it uses less digits than its factorization.

212002120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428960 (or 1428958 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212002120020 its reverse (20021200212), we get a palindrome (232023320232).

The spelling of 212002120020 in words is "two hundred twelve billion, two million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2477 4954 7431 9908 12385 14862 24770 29724 37155 49540 74310 148620 1426471 2852942 4279413 5705884 7132355 8558826 14264710 17117652 21397065 28529420 42794130 85588260 3533368667 7066737334 10600106001 14133474668 17666843335 21200212002 35333686670 42400424004 53000530005 70667373340 106001060010 212002120020