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1321232234112 = 273272317341177
BaseRepresentation
bin10011001110011111100…
…100111111011010000000
311200022022221112200220100
4103032133210333122000
5133121340422442422
62450544332042400
7164312236455510
oct23163744773200
94608287480810
101321232234112
1146a371173a0a
12194092003400
139778cb7138b
1447d3b391840
152457ce477ac
hex1339f93f680

1321232234112 has 384 divisors, whose sum is σ = 4560361378560. Its totient is φ = 358986203136.

The previous prime is 1321232234093. The next prime is 1321232234123. The reversal of 1321232234112 is 2114322321231.

1321232234112 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 23 + 223 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32066068 + ... + 32107244.

It is an arithmetic number, because the mean of its divisors is an integer number (11875941090).

Almost surely, 21321232234112 is an apocalyptic number.

1321232234112 is a gapful number since it is divisible by the number (12) 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 1321232234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280180689280).

1321232234112 is an abundant number, since it is smaller than the sum of its proper divisors (3239129144448).

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

1321232234112 is a wasteful number, since it uses less digits than its factorization.

1321232234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41400 (or 41385 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 1321232234112 its reverse (2114322321231), we get a palindrome (3435554555343).

The spelling of 1321232234112 in words is "one trillion, three hundred twenty-one billion, two hundred thirty-two million, two hundred thirty-four thousand, one hundred twelve".