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1200210200020 = 225135157789501
BaseRepresentation
bin10001011101110010000…
…110100100010111010100
311020201221201020101012101
4101131302012210113110
5124131012302400040
62315211405531444
7152466220242046
oct21356206442724
94221851211171
101200210200020
11423008406517
12174737b73b84
1389244003910
144213a403a96
15213483ac09a
hex117721a45d4

1200210200020 has 48 divisors (see below), whose sum is σ = 2714404483728. Its totient is φ = 443140992000.

The previous prime is 1200210200011. The next prime is 1200210200023. The reversal of 1200210200020 is 200020120021.

It can be written as a sum of positive squares in 8 ways, for example, as 13648781584 + 1186561418436 = 116828^2 + 1089294^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200210200023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13365270 + ... + 13454770.

It is an arithmetic number, because the mean of its divisors is an integer number (56550093411).

Almost surely, 21200210200020 is an apocalyptic number.

1200210200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200210200020 is an abundant number, since it is smaller than the sum of its proper divisors (1514194283708).

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

1200210200020 is a wasteful number, since it uses less digits than its factorization.

1200210200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141100 (or 141098 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1200210200020 its reverse (200020120021), we get a palindrome (1400230320041).

The spelling of 1200210200020 in words is "one trillion, two hundred billion, two hundred ten million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 51577 89501 103154 179002 206308 257885 358004 447505 515770 670501 895010 1031540 1163513 1341002 1790020 2327026 2682004 3352505 4654052 5817565 6705010 11635130 13410020 23270260 4616193077 9232386154 18464772308 23080965385 46161930770 60010510001 92323861540 120021020002 240042040004 300052550005 600105100010 1200210200020