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2012212000000 = 2856503053
BaseRepresentation
bin11101010010000001001…
…011100111010100000000
321010100212111212201122101
4131102001023213110000
5230432002233000000
64140221502320144
7265243326535426
oct35220113472400
97110774781571
102012212000000
11706413241174
12285b91889054
1311799b5c5187
146d56a6d5116
1537520177e6a
hex1d4812e7500

2012212000000 has 126 divisors (see below), whose sum is σ = 5020650461414. Its totient is φ = 804883200000.

The previous prime is 2012211999997. The next prime is 2012212000009. The reversal of 2012212000000 is 2122102.

It can be written as a sum of positive squares in 7 ways, for example, as 1868492157184 + 143719842816 = 1366928^2 + 379104^2 .

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 (2012212000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3748474 + ... + 4251526.

Almost surely, 22012212000000 is an apocalyptic number.

2012212000000 is a gapful number since it is divisible by the number (20) 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 2012212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510325230707).

2012212000000 is an abundant number, since it is smaller than the sum of its proper divisors (3008438461414).

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

2012212000000 is an frugal number, since it uses more digits than its factorization.

2012212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503099 (or 503060 counting only the distinct ones).

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

Adding to 2012212000000 its reverse (2122102), we get a palindrome (2012214122102).

The spelling of 2012212000000 in words is "two trillion, twelve billion, two hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 400000 500000 503053 800000 1000000 1006106 2000000 2012212 2515265 4000000 4024424 5030530 8048848 10061060 12576325 16097696 20122120 25152650 32195392 40244240 50305300 62881625 64390784 80488480 100610600 125763250 128781568 160976960 201221200 251526500 314408125 321953920 402442400 503053000 628816250 643907840 804884800 1006106000 1257632500 1572040625 1609769600 2012212000 2515265000 3144081250 3219539200 4024424000 5030530000 6288162500 7860203125 8048848000 10061060000 12576325000 15720406250 16097696000 20122120000 25152650000 31440812500 40244240000 50305300000 62881625000 80488480000 100610600000 125763250000 201221200000 251526500000 402442400000 503053000000 1006106000000 2012212000000