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122332132000 = 2553137997307
BaseRepresentation
bin111000111101110010…
…0000011001010100000
3102200202112111012011201
41301323210003022200
54001014011211000
6132110522050544
711560334652031
oct1617344031240
9380675435151
10122332132000
1147976332441
121b860949a54
13b6c73cca30
145cc6d7aa88
1532aeac296a
hex1c7b9032a0

122332132000 has 384 divisors, whose sum is σ = 332246154240. Its totient is φ = 43993497600.

The previous prime is 122332131979. The next prime is 122332132003. The reversal of 122332132000 is 231233221.

It is not an unprimeable number, because it can be changed into a prime (122332132003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398475847 + ... + 398476153.

It is an arithmetic number, because the mean of its divisors is an integer number (865224360).

Almost surely, 2122332132000 is an apocalyptic number.

122332132000 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 122332132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166123077120).

122332132000 is an abundant number, since it is smaller than the sum of its proper divisors (209914022240).

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

122332132000 is a wasteful number, since it uses less digits than its factorization.

122332132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 122332132000 its reverse (231233221), we get a palindrome (122563365221).

The spelling of 122332132000 in words is "one hundred twenty-two billion, three hundred thirty-two million, one hundred thirty-two thousand".