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122221330000 = 2454711179337
BaseRepresentation
bin111000111010011110…
…1010111111001010000
3102200110210222212101221
41301310331113321100
54000302130030000
6132051523134424
711554521110110
oct1616475277120
9380423885357
10122221330000
1147919833240
121b82b814414
13b6aa476613
145cb6377040
1532a4ed761a
hex1c74f57e50

122221330000 has 400 divisors, whose sum is σ = 390670245504. Its totient is φ = 35850240000.

The previous prime is 122221329977. The next prime is 122221330003. The reversal of 122221330000 is 33122221.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221330003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13085332 + ... + 13094668.

Almost surely, 2122221330000 is an apocalyptic number.

122221330000 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 122221330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195335122752).

122221330000 is an abundant number, since it is smaller than the sum of its proper divisors (268448915504).

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

122221330000 is a wasteful number, since it uses less digits than its factorization.

122221330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9400 (or 9379 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 122221330000 its reverse (33122221), we get a palindrome (122254452221).

The spelling of 122221330000 in words is "one hundred twenty-two billion, two hundred twenty-one million, three hundred thirty thousand".