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1222211220120 = 2332511349884353
BaseRepresentation
bin10001110010010001011…
…101110011001010011000
311022211202000000222222200
4101302101131303022120
5130011042033020440
62333250500050200
7154205350646562
oct21622135631230
94284660028880
101222211220120
11431378409560
12178a58093960
138b33c121cc7
144322636c332
1521bd4b3cc30
hex11c91773298

1222211220120 has 192 divisors, whose sum is σ = 4345715556000. Its totient is φ = 295444316160.

The previous prime is 1222211220107. The next prime is 1222211220157. The reversal of 1222211220120 is 210221122221.

It is a happy number.

1222211220120 is a `hidden beast` number, since 1 + 222 + 211 + 220 + 12 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1222211220093 and 1222211220102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 939864 + ... + 1824216.

Almost surely, 21222211220120 is an apocalyptic number.

1222211220120 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 1222211220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172857778000).

1222211220120 is an abundant number, since it is smaller than the sum of its proper divisors (3123504335880).

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

1222211220120 is a wasteful number, since it uses less digits than its factorization.

1222211220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884730 (or 884723 counting only the distinct ones).

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

Adding to 1222211220120 its reverse (210221122221), we get a palindrome (1432432342341).

It can be divided in two parts, 122221 and 1220120, that added together give a triangular number (1342341 = T1638).

The spelling of 1222211220120 in words is "one trillion, two hundred twenty-two billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty".