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1212211022112 = 25324209066049
BaseRepresentation
bin10001101000111101011…
…010000100100100100000
311021212221001220022020200
4101220331122010210200
5124330102010201422
62324514305105200
7153402501451416
oct21507532044440
94255831808220
101212211022112
11428106579802
12176b27028200
138a40739568c
14429581972b6
15217ebc412ac
hex11a3d684920

1212211022112 has 36 divisors (see below), whose sum is σ = 3447225094950. Its totient is φ = 404070340608.

The previous prime is 1212211022101. The next prime is 1212211022123. The reversal of 1212211022112 is 2112201122121.

It is an interprime number because it is at equal distance from previous prime (1212211022101) and next prime (1212211022123).

It can be written as a sum of positive squares in only one way, i.e., 1117595722896 + 94615299216 = 1057164^2 + 307596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2104532737 + ... + 2104533312.

Almost surely, 21212211022112 is an apocalyptic number.

1212211022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1212211022112 is an abundant number, since it is smaller than the sum of its proper divisors (2235014072838).

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

1212211022112 is a wasteful number, since it uses less digits than its factorization.

1212211022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209066065 (or 4209066054 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1212211022112 its reverse (2112201122121), we get a palindrome (3324412144233).

The spelling of 1212211022112 in words is "one trillion, two hundred twelve billion, two hundred eleven million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4209066049 8418132098 12627198147 16836264196 25254396294 33672528392 37881594441 50508792588 67345056784 75763188882 101017585176 134690113568 151526377764 202035170352 303052755528 404070340704 606105511056 1212211022112