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120020200012020 = 2235721123433752477
BaseRepresentation
bin11011010010100001100001…
…011000110011100011110100
3120201221211010002122222002210
4123102201201120303203310
5111212402332200341040
61103132304013133420
734165113304355400
oct3322414130634364
9521854102588083
10120020200012020
113527330aa94220
121156487618a270
1351c7b193941c9
14218d019b3c100
15dd2002c2e480
hex6d28616338f4

120020200012020 has 576 divisors, whose sum is σ = 455352218044416. Its totient is φ = 23300174177280.

The previous prime is 120020200011991. The next prime is 120020200012087. The reversal of 120020200012020 is 20210002020021.

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 = 120020200011987 and 120020200012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30108022 + ... + 33860498.

It is an arithmetic number, because the mean of its divisors is an integer number (790542045216).

Almost surely, 2120020200012020 is an apocalyptic number.

120020200012020 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 120020200012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227676109022208).

120020200012020 is an abundant number, since it is smaller than the sum of its proper divisors (335332018032396).

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

120020200012020 is a wasteful number, since it uses less digits than its factorization.

120020200012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752580 (or 3752571 counting only the distinct ones).

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

Adding to 120020200012020 its reverse (20210002020021), we get a palindrome (140230202032041).

The spelling of 120020200012020 in words is "one hundred twenty trillion, twenty billion, two hundred million, twelve thousand, twenty".