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1211000220020 = 225172887236207
BaseRepresentation
bin10001100111110101001…
…111001110100101110100
311021202210200120012000202
4101213311033032211310
5124320112024020040
62324154213300032
7153330500013233
oct21476517164564
94252720505022
101211000220020
11427645065218
12176849634618
138a27358b536
1442881454b1a
152177a7c0015
hex119f53ce974

1211000220020 has 72 divisors (see below), whose sum is σ = 2704551365376. Its totient is φ = 455390050816.

The previous prime is 1211000219987. The next prime is 1211000220077. The reversal of 1211000220020 is 200220001121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1211000219983 and 1211000220010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5008757 + ... + 5244963.

It is an arithmetic number, because the mean of its divisors is an integer number (37563213408).

Almost surely, 21211000220020 is an apocalyptic number.

1211000220020 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 1211000220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352275682688).

1211000220020 is an abundant number, since it is smaller than the sum of its proper divisors (1493551145356).

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

1211000220020 is a wasteful number, since it uses less digits than its factorization.

1211000220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237137 (or 237118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1211000220020 its reverse (200220001121), we get a palindrome (1411220221141).

The spelling of 1211000220020 in words is "one trillion, two hundred eleven billion, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 887 1156 1445 1774 2890 3548 4435 5780 8870 15079 17740 30158 60316 75395 150790 236207 256343 301580 472414 512686 944828 1025372 1181035 1281715 2362070 2563430 4015519 4724140 5126860 8031038 16062076 20077595 40155190 68263823 80310380 136527646 209515609 273055292 341319115 419031218 682638230 838062436 1047578045 1365276460 2095156090 3561765353 4190312180 7123530706 14247061412 17808826765 35617653530 60550011001 71235307060 121100022002 242200044004 302750055005 605500110010 1211000220020