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1222111120100 = 225213191014671049
BaseRepresentation
bin10001110010001011011…
…111111100101011100100
311022211111000200101120112
4101302023133330223210
5130010340421320400
62333232522352152
7154203024060023
oct21621337745344
94284430611515
101222111120100
11431326959972
12178a2a65b658
138b324474b20
1443216d528ba
1521bcae68835
hex11c8b7fcae4

1222111120100 has 288 divisors, whose sum is σ = 3045461328000. Its totient is φ = 421949952000.

The previous prime is 1222111120063. The next prime is 1222111120121. The reversal of 1222111120100 is 10211112221.

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 95 ways as a sum of consecutive naturals, for example, 1165024376 + ... + 1165025424.

It is an arithmetic number, because the mean of its divisors is an integer number (10574518500).

Almost surely, 21222111120100 is an apocalyptic number.

1222111120100 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 1222111120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522730664000).

1222111120100 is an abundant number, since it is smaller than the sum of its proper divisors (1823350207900).

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

1222111120100 is a wasteful number, since it uses less digits than its factorization.

1222111120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1222111120100 its reverse (10211112221), we get a palindrome (1232322232321).

The spelling of 1222111120100 in words is "one trillion, two hundred twenty-two billion, one hundred eleven million, one hundred twenty thousand, one hundred".