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132227251200 = 21034521121731
BaseRepresentation
bin111101100100101011…
…0111011110000000000
3110122022010220022220000
41323021112323300000
54131300134014300
6140424440520000
712360500043042
oct1731126736000
9418263808800
10132227251200
1151093921a00
1221762780000
13c613457c55
1465851dba92
15368d664c00
hex1ec95bbc00

132227251200 has 1980 divisors, whose sum is σ = 588218976576. Its totient is φ = 29196288000.

The previous prime is 132227251193. The next prime is 132227251201. The reversal of 132227251200 is 2152722231.

132227251200 is a `hidden beast` number, since 1 + 322 + 272 + 51 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132227251201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4265395185 + ... + 4265395215.

Almost surely, 2132227251200 is an apocalyptic number.

132227251200 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 132227251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294109488288).

132227251200 is an abundant number, since it is smaller than the sum of its proper divisors (455991725376).

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

132227251200 is a wasteful number, since it uses less digits than its factorization.

132227251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 132227251200 its reverse (2152722231), we get a palindrome (134379973431).

The spelling of 132227251200 in words is "one hundred thirty-two billion, two hundred twenty-seven million, two hundred fifty-one thousand, two hundred".