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1122189120 = 263351397103
BaseRepresentation
bin100001011100011…
…0011111101000000
32220012121010002000
41002320303331000
54244240022440
6303204224000
736544310253
oct10270637500
92805533060
101122189120
115264a0328
1227399b000
1314b64c640
14a907709a
15687ba730
hex42e33f40

1122189120 has 448 divisors, whose sum is σ = 4349130240. Its totient is φ = 270729216.

The previous prime is 1122189109. The next prime is 1122189137. The reversal of 1122189120 is 219812211.

1122189120 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10894989 + ... + 10895091.

It is an arithmetic number, because the mean of its divisors is an integer number (9707880).

Almost surely, 21122189120 is an apocalyptic number.

1122189120 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 1122189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174565120).

1122189120 is an abundant number, since it is smaller than the sum of its proper divisors (3226941120).

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

1122189120 is a wasteful number, since it uses less digits than its factorization.

1122189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1122189120 is about 33499.0913309600. The cubic root of 1122189120 is about 1039.1749867305.

The spelling of 1122189120 in words is "one billion, one hundred twenty-two million, one hundred eighty-nine thousand, one hundred twenty".