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1222120022112 = 2532112291209311
BaseRepresentation
bin10001110010001100000…
…001111010000001100000
311022211111122102122211200
4101302030001322001200
5130010400211201422
62333233441241200
7154203162534303
oct21621401720140
94284448378750
101222120022112
1143133098a100
12178a31633200
138b3262709a2
14432181ccb3a
1521bcbb262ac
hex11c8c07a060

1222120022112 has 216 divisors, whose sum is σ = 3951801846720. Its totient is φ = 357568780800.

The previous prime is 1222120022087. The next prime is 1222120022117. The reversal of 1222120022112 is 2112200212221.

It is a happy number.

1222120022112 is a `hidden beast` number, since 12 + 221 + 200 + 221 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222120022117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405937 + ... + 1615247.

It is an arithmetic number, because the mean of its divisors is an integer number (18295378920).

Almost surely, 21222120022112 is an apocalyptic number.

1222120022112 is a gapful number since it is divisible by the number (12) 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 1222120022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975900923360).

1222120022112 is an abundant number, since it is smaller than the sum of its proper divisors (2729681824608).

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

1222120022112 is a wasteful number, since it uses less digits than its factorization.

1222120022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209378 (or 1209356 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1222120022112 its reverse (2112200212221), we get a palindrome (3334320234333).

The spelling of 1222120022112 in words is "one trillion, two hundred twenty-two billion, one hundred twenty million, twenty-two thousand, one hundred twelve".