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1122161040 = 2434571113173
BaseRepresentation
bin100001011100010…
…1101000110010000
32220012112200120000
41002320231012100
54244233123130
6303203450000
736544132350
oct10270550620
92805480500
101122161040
11526481220
12273986900
1314b63c920
14a906ab60
15687b2260
hex42e2d190

1122161040 has 800 divisors, whose sum is σ = 5263163136. Its totient is φ = 213995520.

The previous prime is 1122161023. The next prime is 1122161057. The reversal of 1122161040 is 401612211.

1122161040 is a `hidden beast` number, since 1 + 12 + 2 + 1 + 610 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1122161023) and next prime (1122161057).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6486394 + ... + 6486566.

Almost surely, 21122161040 is an apocalyptic number.

1122161040 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 1122161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631581568).

1122161040 is an abundant number, since it is smaller than the sum of its proper divisors (4141002096).

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

1122161040 is a wasteful number, since it uses less digits than its factorization.

1122161040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1122161040 is about 33498.6722124922. The cubic root of 1122161040 is about 1039.1663190658.

Adding to 1122161040 its reverse (401612211), we get a palindrome (1523773251).

The spelling of 1122161040 in words is "one billion, one hundred twenty-two million, one hundred sixty-one thousand, forty".