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122213034240 = 28351119295989
BaseRepresentation
bin111000111010001110…
…1101110100100000000
3102200110020101101202120
41301310131232210000
54000243014043430
6132051025244240
711554360436163
oct1616435564400
9380406341676
10122213034240
1147915087540
121b828a93680
13b6a883069b
145cb5217ada
1532a43e9610
hex1c7476e900

122213034240 has 1152 divisors, whose sum is σ = 476824320000. Its totient is φ = 26341539840.

The previous prime is 122213034227. The next prime is 122213034263. The reversal of 122213034240 is 42430312221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122213034240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1373180116 + ... + 1373180204.

It is an arithmetic number, because the mean of its divisors is an integer number (413910000).

Almost surely, 2122213034240 is an apocalyptic number.

122213034240 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 122213034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238412160000).

122213034240 is an abundant number, since it is smaller than the sum of its proper divisors (354611285760).

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

122213034240 is a wasteful number, since it uses less digits than its factorization.

122213034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122213034240 its reverse (42430312221), we get a palindrome (164643346461).

The spelling of 122213034240 in words is "one hundred twenty-two billion, two hundred thirteen million, thirty-four thousand, two hundred forty".