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1121122143648 = 253213417399883
BaseRepresentation
bin10000010100001000000…
…101100100110110100000
310222011210221002211200100
4100110020011210312200
5121332024232044043
62215011510222400
7143666310662163
oct20241005446640
93864727084610
101121122143648
113a251324a161
12161345654a00
138194bab7920
143c396813ada
151e269ec8cd3
hex10508164da0

1121122143648 has 288 divisors, whose sum is σ = 3522294659520. Its totient is φ = 336057569280.

The previous prime is 1121122143611. The next prime is 1121122143679. The reversal of 1121122143648 is 8463412211211.

1121122143648 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 2 + 2 + 1 + 4 + 3 + 648 = 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113434515 + ... + 113444397.

It is an arithmetic number, because the mean of its divisors is an integer number (12230189790).

Almost surely, 21121122143648 is an apocalyptic number.

1121122143648 is a gapful number since it is divisible by the number (18) 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 1121122143648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761147329760).

1121122143648 is an abundant number, since it is smaller than the sum of its proper divisors (2401172515872).

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

1121122143648 is a wasteful number, since it uses less digits than its factorization.

1121122143648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10692 (or 10681 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

Adding to 1121122143648 its reverse (8463412211211), we get a palindrome (9584534354859).

The spelling of 1121122143648 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred forty-three thousand, six hundred forty-eight".