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122290697480 = 235721797157241
BaseRepresentation
bin111000111100100010…
…1111111010100001000
3102200122122112002200212
41301321011333110020
54000422404304410
6132102442020252
711556322530500
oct1617105772410
9380578462625
10122290697480
1147954a02036
121b84aaa7688
13b6bb953273
145cc1672a00
1532ab13ab05
hex1c7917f508

122290697480 has 384 divisors, whose sum is σ = 346009799520. Its totient is φ = 38645268480.

The previous prime is 122290697467. The next prime is 122290697483. The reversal of 122290697480 is 84796092221.

It can be written as a sum of positive squares in 16 ways, for example, as 25022810596 + 97267886884 = 158186^2 + 311878^2 .

It is not an unprimeable number, because it can be changed into a prime (122290697483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507430160 + ... + 507430400.

Almost surely, 2122290697480 is an apocalyptic number.

122290697480 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 122290697480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173004899760).

122290697480 is an abundant number, since it is smaller than the sum of its proper divisors (223719102040).

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

122290697480 is a wasteful number, since it uses less digits than its factorization.

122290697480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 122290697480 in words is "one hundred twenty-two billion, two hundred ninety million, six hundred ninety-seven thousand, four hundred eighty".