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1223070827040 = 2537523151969
BaseRepresentation
bin10001110011000100101…
…100111100001000100000
311022220221220112120000000
4101303010230330020200
5130014322112431130
62333512044300000
7154235556332316
oct21630454741040
94286856476000
101223070827040
114317796619a7
12179057b41600
138b448244c5a
14432a85b20b6
1521c3533b260
hex11cc4b3c220

1223070827040 has 384 divisors, whose sum is σ = 4522043635200. Its totient is φ = 311969636352.

The previous prime is 1223070827023. The next prime is 1223070827059. The reversal of 1223070827040 is 407280703221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1223070826986 and 1223070827004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7972176 + ... + 8124144.

It is an arithmetic number, because the mean of its divisors is an integer number (11776155300).

Almost surely, 21223070827040 is an apocalyptic number.

1223070827040 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 1223070827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261021817600).

1223070827040 is an abundant number, since it is smaller than the sum of its proper divisors (3298972808160).

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

1223070827040 is an equidigital number, since it uses as much as digits as its factorization.

1223070827040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152028 (or 152002 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 1223070827040 in words is "one trillion, two hundred twenty-three billion, seventy million, eight hundred twenty-seven thousand, forty".