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1201001210020 = 225238125220521
BaseRepresentation
bin10001011110100001010…
…000000010000010100100
311020210222211122211221001
4101132201100002002210
5124134122302210040
62315422104003044
7152524633563463
oct21364120020244
94223884584831
101201001210020
11423383966a97
12174918a60484
138933bb59881
14421b34ac9da
1521392a5a59a
hex117a14020a4

1201001210020 has 24 divisors (see below), whose sum is σ = 2523161902968. Its totient is φ = 480198700800.

The previous prime is 1201001209921. The next prime is 1201001210039. The reversal of 1201001210020 is 200121001021.

It can be written as a sum of positive squares in 4 ways, for example, as 8069788224 + 1192931421796 = 89832^2 + 1092214^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1201001209979 and 1201001210006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12562641 + ... + 12657880.

It is an arithmetic number, because the mean of its divisors is an integer number (105131745957).

Almost surely, 21201001210020 is an apocalyptic number.

1201001210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201001210020 is an abundant number, since it is smaller than the sum of its proper divisors (1322160692948).

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

1201001210020 is a wasteful number, since it uses less digits than its factorization.

1201001210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25222911 (or 25222909 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1201001210020 its reverse (200121001021), we get a palindrome (1401122211041).

The spelling of 1201001210020 in words is "one trillion, two hundred one billion, one million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 2381 4762 9524 11905 23810 47620 25220521 50441042 100882084 126102605 252205210 504410420 60050060501 120100121002 240200242004 300250302505 600500605010 1201001210020