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1072224000000 = 21133561773
BaseRepresentation
bin11111001101001011000…
…01111101100000000000
310210111121010121202211000
433212211201331200000
5120031403321000000
62140323425252000
7140315465423466
oct17464541754000
93714533552730
101072224000000
1138380054a09a
12153979794000
137a1583c880a
1439c78586836
151cd57235000
hexf9a587d800

1072224000000 has 1344 divisors, whose sum is σ = 4261304829600. Its totient is φ = 265420800000.

The previous prime is 1072223999989. The next prime is 1072224000011. The reversal of 1072224000000 is 4222701.

It is an interprime number because it is at equal distance from previous prime (1072223999989) and next prime (1072224000011).

It is a super-2 number, since 2×10722240000002 (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 an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14687999964 + ... + 14688000036.

Almost surely, 21072224000000 is an apocalyptic number.

1072224000000 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 1072224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130652414800).

1072224000000 is an abundant number, since it is smaller than the sum of its proper divisors (3189080829600).

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

1072224000000 is an frugal number, since it uses more digits than its factorization.

1072224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 1072224000000 its reverse (4222701), we get a palindrome (1072228222701).

The spelling of 1072224000000 in words is "one trillion, seventy-two billion, two hundred twenty-four million", and thus it is an aban number.