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1140221370120 = 2335722931415261
BaseRepresentation
bin10000100101111010011…
…111010101111100001000
311001000002222200001221120
4100211322133111330020
5122140133132320440
62231451021035240
7145243514506200
oct20457237257410
94030088601846
101140221370120
113aa624268748
12164b959b5b20
13836a3987a71
143d28921b400
151e9d6b13dd0
hex1097a7d5f08

1140221370120 has 768 divisors, whose sum is σ = 4353601996800. Its totient is φ = 237533184000.

The previous prime is 1140221370103. The next prime is 1140221370143. The reversal of 1140221370120 is 210731220411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 216728290 + ... + 216733550.

It is an arithmetic number, because the mean of its divisors is an integer number (5668752600).

Almost surely, 21140221370120 is an apocalyptic number.

1140221370120 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 1140221370120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176800998400).

1140221370120 is an abundant number, since it is smaller than the sum of its proper divisors (3213380626680).

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

1140221370120 is a wasteful number, since it uses less digits than its factorization.

1140221370120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 1140221370120 its reverse (210731220411), we get a palindrome (1350952590531).

The spelling of 1140221370120 in words is "one trillion, one hundred forty billion, two hundred twenty-one million, three hundred seventy thousand, one hundred twenty".