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122323320120000 = 2635419149360071
BaseRepresentation
bin11011110100000010011110…
…000010110010001011000000
3121001002222212111110202022210
4123310002132002302023000
5112013121124422320000
61112054320230102120
734523365622312616
oct3364023602621300
9531088774422283
10122323320120000
1135a8103527763a
12118770b44aa940
135334068ca27cc
14222c6a1c7d6b6
15e21d9c287350
hex6f409e0b22c0

122323320120000 has 560 divisors, whose sum is σ = 428573537568000. Its totient is φ = 30695247360000.

The previous prime is 122323320119971. The next prime is 122323320120031. The reversal of 122323320120000 is 21023323221.

It is a happy 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 79 ways as a sum of consecutive naturals, for example, 339539965 + ... + 339900035.

Almost surely, 2122323320120000 is an apocalyptic number.

122323320120000 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 122323320120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214286768784000).

122323320120000 is an abundant number, since it is smaller than the sum of its proper divisors (306250217448000).

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

122323320120000 is a wasteful number, since it uses less digits than its factorization.

122323320120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360274 (or 360249 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 122323320120000 its reverse (21023323221), we get a palindrome (122344343443221).

The spelling of 122323320120000 in words is "one hundred twenty-two trillion, three hundred twenty-three billion, three hundred twenty million, one hundred twenty thousand".