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1122132012000 = 25353183151071
BaseRepresentation
bin10000010101000100010…
…001111010101111100000
310222021102022100110121220
4100111010101322233200
5121341111243341000
62215300023215040
7144033322503606
oct20250421725740
93867368313556
101122132012000
113a29912a31aa
121615878a7480
1381a8009b76c
143c4509ad876
151e2c89a91a0
hex1054447abe0

1122132012000 has 192 divisors, whose sum is σ = 3678184194048. Its totient is φ = 299065920000.

The previous prime is 1122132011999. The next prime is 1122132012011. The reversal of 1122132012000 is 2102312211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21946465 + ... + 21997535.

It is an arithmetic number, because the mean of its divisors is an integer number (19157209344).

Almost surely, 21122132012000 is an apocalyptic number.

1122132012000 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 1122132012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839092097024).

1122132012000 is an abundant number, since it is smaller than the sum of its proper divisors (2556052182048).

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

1122132012000 is a wasteful number, since it uses less digits than its factorization.

1122132012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52930 (or 52912 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1122132012000 its reverse (2102312211), we get a palindrome (1124234324211).

The spelling of 1122132012000 in words is "one trillion, one hundred twenty-two billion, one hundred thirty-two million, twelve thousand".