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1223013132000 = 2532531123472857
BaseRepresentation
bin10001110011000001010…
…000110110011011100000
311022220210212222100021200
4101303001100312123200
5130014212330211000
62333502223521200
7154234256045232
oct21630120663340
94286725870250
101223013132000
1143174a035850
12179040759200
138b4392c418a
14432a0a74252
1521c30241500
hex11cc14366e0

1223013132000 has 1152 divisors, whose sum is σ = 5047826853888. Its totient is φ = 277466112000.

The previous prime is 1223013131897. The next prime is 1223013132007. The reversal of 1223013132000 is 2313103221.

1223013132000 is a `hidden beast` number, since 12 + 2 + 301 + 31 + 320 + 0 + 0 = 666.

It is a super-2 number, since 2×12230131320002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223013132007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 428074572 + ... + 428077428.

It is an arithmetic number, because the mean of its divisors is an integer number (4381794144).

Almost surely, 21223013132000 is an apocalyptic number.

1223013132000 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 1223013132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523913426944).

1223013132000 is an abundant number, since it is smaller than the sum of its proper divisors (3824813721888).

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

1223013132000 is a wasteful number, since it uses less digits than its factorization.

1223013132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1223013132000 its reverse (2313103221), we get a palindrome (1225326235221).

The spelling of 1223013132000 in words is "one trillion, two hundred twenty-three billion, thirteen million, one hundred thirty-two thousand".