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1126947222240 = 25357391785627
BaseRepresentation
bin10000011001100011010…
…010011111001011100000
310222201211220000111021220
4100121203102133023200
5121430441442102430
62221413514015040
7144263542223460
oct20314322371340
93881756014256
101126947222240
113a4a323669a4
121624b0417480
138236986a2a8
143c78a2cbba0
151e4ab5ad110
hex1066349f2e0

1126947222240 has 192 divisors, whose sum is σ = 4058093136384. Its totient is φ = 257519167488.

The previous prime is 1126947222223. The next prime is 1126947222251. The reversal of 1126947222240 is 422227496211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1126947222192 and 1126947222201.

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, 13118307 + ... + 13203933.

It is an arithmetic number, because the mean of its divisors is an integer number (21135901752).

Almost surely, 21126947222240 is an apocalyptic number.

1126947222240 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 1126947222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029046568192).

1126947222240 is an abundant number, since it is smaller than the sum of its proper divisors (2931145914144).

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

1126947222240 is a wasteful number, since it uses less digits than its factorization.

1126947222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89569 (or 89561 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 1126947222240 in words is "one trillion, one hundred twenty-six billion, nine hundred forty-seven million, two hundred twenty-two thousand, two hundred forty".