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122332122030000 = 2435428155726053
BaseRepresentation
bin11011110100001010101010…
…101011011001111110110000
3121001010211120220211002221110
4123310022222223121332300
5112013242141214430000
61112102333453353320
734524130011313041
oct3364125253317660
9531124526732843
10122332122030000
1135a8484176a923
1211878950198840
135334b3c6b6c8c
14222cc98c4c8c8
15e22214d85850
hex6f42aaad9fb0

122332122030000 has 400 divisors, whose sum is σ = 397036501225056. Its totient is φ = 32446202880000.

The previous prime is 122332122029959. The next prime is 122332122030067. The reversal of 122332122030000 is 30221233221.

It is a happy number.

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

It is a super-2 number, since 2×1223321220300002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4695496974 + ... + 4695523026.

Almost surely, 2122332122030000 is an apocalyptic number.

122332122030000 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 122332122030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198518250612528).

122332122030000 is an abundant number, since it is smaller than the sum of its proper divisors (274704379195056).

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

122332122030000 is a wasteful number, since it uses less digits than its factorization.

122332122030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26922 (or 26901 counting only the distinct ones).

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

Adding to 122332122030000 its reverse (30221233221), we get a palindrome (122362343263221).

The spelling of 122332122030000 in words is "one hundred twenty-two trillion, three hundred thirty-two billion, one hundred twenty-two million, thirty thousand".