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1120211222112 = 253223377276287
BaseRepresentation
bin10000010011010001110…
…010101011111001100000
310222002110110001020020200
4100103101302223321200
5121323143033101422
62214341250105200
7143634610165233
oct20232162537140
93862413036220
101120211222112
113a2096038344
1216113057b200
13818351690b8
143c30b85341a
151e2150412ac
hex104d1cabe60

1120211222112 has 288 divisors, whose sum is σ = 3419185416192. Its totient is φ = 346982372352.

The previous prime is 1120211222101. The next prime is 1120211222147. The reversal of 1120211222112 is 2112221120211.

1120211222112 is a `hidden beast` number, since 1 + 120 + 211 + 222 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178175833 + ... + 178182119.

It is an arithmetic number, because the mean of its divisors is an integer number (11872171584).

Almost surely, 21120211222112 is an apocalyptic number.

1120211222112 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 1120211222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709592708096).

1120211222112 is an abundant number, since it is smaller than the sum of its proper divisors (2298974194080).

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

1120211222112 is a wasteful number, since it uses less digits than its factorization.

1120211222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7090 (or 7079 counting only the distinct ones).

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

Adding to 1120211222112 its reverse (2112221120211), we get a palindrome (3232432342323).

The spelling of 1120211222112 in words is "one trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twelve".