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1223024125440 = 29351374316487
BaseRepresentation
bin10001110011000001111…
…010110010011000000000
311022220211122122212110010
4101303001322302120000
5130014223134003230
62333503255304520
7154234451353125
oct21630172623000
94286748585403
101223024125440
11431755264337
1217904437b140
138b43b672c80
14432a22d674c
1521c311b39b0
hex11cc1eb2600

1223024125440 has 320 divisors, whose sum is σ = 4216536124416. Its totient is φ = 300628672512.

The previous prime is 1223024125429. The next prime is 1223024125451. The reversal of 1223024125440 is 445214203221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1223024125429) and next prime (1223024125451).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×12230241254402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1223024125398 and 1223024125407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74172877 + ... + 74189363.

Almost surely, 21223024125440 is an apocalyptic number.

1223024125440 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 1223024125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108268062208).

1223024125440 is an abundant number, since it is smaller than the sum of its proper divisors (2993511998976).

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

1223024125440 is a wasteful number, since it uses less digits than its factorization.

1223024125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17269 (or 17253 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1223024125440 its reverse (445214203221), we get a palindrome (1668238328661).

The spelling of 1223024125440 in words is "one trillion, two hundred twenty-three billion, twenty-four million, one hundred twenty-five thousand, four hundred forty".