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122215000440 = 233513293773013
BaseRepresentation
bin111000111010010010…
…1001110100101111000
3102200110101002021212210
41301310211032211320
54000244020003230
6132051135335120
711554413235431
oct1616445164570
9380411067783
10122215000440
11479161aa7a5
121b8296814a0
13b6a906b610
145cb55aa488
1532a4686eb0
hex1c7494e978

122215000440 has 256 divisors, whose sum is σ = 419509238400. Its totient is φ = 28260900864.

The previous prime is 122215000357. The next prime is 122215000451. The reversal of 122215000440 is 44000512221.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1637374 + ... + 1710386.

Almost surely, 2122215000440 is an apocalyptic number.

122215000440 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 122215000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209754619200).

122215000440 is an abundant number, since it is smaller than the sum of its proper divisors (297294237960).

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

122215000440 is a wasteful number, since it uses less digits than its factorization.

122215000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73106 (or 73102 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 122215000440 its reverse (44000512221), we get a palindrome (166215512661).

The spelling of 122215000440 in words is "one hundred twenty-two billion, two hundred fifteen million, four hundred forty", and thus it is an aban number.