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122100323031232 = 2672132283814081
BaseRepresentation
bin11011110000110010110010…
…011000011001100011000000
3121000022200021110002220200221
4123300302302120121203000
5112000442430143444412
61111404040344352424
734501312554322600
oct3360626230314300
9530280243086627
10122100323031232
11359a5502225257
121183ba3b175714
13531901b3a3600
14222198982ac00
15e1b199dcab07
hex6f0cb26198c0

122100323031232 has 252 divisors, whose sum is σ = 306278251187256. Its totient is φ = 48132681891840.

The previous prime is 122100323031227. The next prime is 122100323031263. The reversal of 122100323031232 is 232130323001221.

It is a junction number, because it is equal to n+sod(n) for n = 122100323031197 and 122100323031206.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149578432 + ... + 150392512.

Almost surely, 2122100323031232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122100323031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153139125593628).

122100323031232 is an abundant number, since it is smaller than the sum of its proper divisors (184177928156024).

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

122100323031232 is a wasteful number, since it uses less digits than its factorization.

122100323031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814416 (or 814386 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 122100323031232 its reverse (232130323001221), we get a palindrome (354230646032453).

The spelling of 122100323031232 in words is "one hundred twenty-two trillion, one hundred billion, three hundred twenty-three million, thirty-one thousand, two hundred thirty-two".