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1220107747068 = 22327231371579787
BaseRepresentation
bin10001110000010100000…
…101101011111011111100
311022122022101222111102100
4101300110011223323330
5124442240040401233
62332302035225100
7154102256506230
oct21602405537374
94278271874370
101220107747068
11430499019081
1217856b748190
138b0953b93b2
14430a6c5a5c0
1521b1013b813
hex11c1416befc

1220107747068 has 288 divisors, whose sum is σ = 3728831468544. Its totient is φ = 328869725184.

The previous prime is 1220107747049. The next prime is 1220107747069. The reversal of 1220107747068 is 8607477010221.

1220107747068 is a `hidden beast` number, since 12 + 2 + 0 + 107 + 7 + 470 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220107747069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124661271 + ... + 124671057.

It is an arithmetic number, because the mean of its divisors is an integer number (12947331488).

Almost surely, 21220107747068 is an apocalyptic number.

1220107747068 is a gapful number since it is divisible by the number (18) 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 1220107747068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864415734272).

1220107747068 is an abundant number, since it is smaller than the sum of its proper divisors (2508723721476).

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

1220107747068 is a wasteful number, since it uses less digits than its factorization.

1220107747068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10121 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 1220107747068 in words is "one trillion, two hundred twenty billion, one hundred seven million, seven hundred forty-seven thousand, sixty-eight".