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122002112332320 = 253511313720145127
BaseRepresentation
bin11011101111010111010100…
…100100010100001000100000
3120222222021202222100111002220
4123233113110210110020200
5111442340311224113240
61111250555140311040
734461235035211413
oct3357272444241040
9528867688314086
10122002112332320
1135967894906590
12118249b06a2480
13530c9994a920c
14221ad10299b7a
15e1884ccd45d0
hex6ef5d4914220

122002112332320 has 384 divisors, whose sum is σ = 444464054157312. Its totient is φ = 27848622182400.

The previous prime is 122002112332279. The next prime is 122002112332333. The reversal of 122002112332320 is 23233211200221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4016404 + ... + 16128723.

It is an arithmetic number, because the mean of its divisors is an integer number (1157458474368).

Almost surely, 2122002112332320 is an apocalyptic number.

122002112332320 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 122002112332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222232027078656).

122002112332320 is an abundant number, since it is smaller than the sum of its proper divisors (322461941824992).

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

122002112332320 is a wasteful number, since it uses less digits than its factorization.

122002112332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20145224 (or 20145216 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122002112332320 its reverse (23233211200221), we get a palindrome (145235323532541).

The spelling of 122002112332320 in words is "one hundred twenty-two trillion, two billion, one hundred twelve million, three hundred thirty-two thousand, three hundred twenty".