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1120011022000 = 245313412713877
BaseRepresentation
bin10000010011000101110…
…110111110111010110000
310222001221111100000022201
4100103011312332322300
5121322240310201000
62214305335112544
7143626626415363
oct20230566767260
93861844300281
101120011022000
113a1aa3029002
12161095512754
13818028419b0
143c2cd01c0da
151e20269796a
hex104c5dbeeb0

1120011022000 has 320 divisors, whose sum is σ = 2999441023488. Its totient is φ = 401863680000.

The previous prime is 1120011021977. The next prime is 1120011022001. The reversal of 1120011022000 is 2201100211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1120011022001) 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, 288884062 + ... + 288887938.

Almost surely, 21120011022000 is an apocalyptic number.

1120011022000 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 1120011022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499720511744).

1120011022000 is an abundant number, since it is smaller than the sum of its proper divisors (1879430001488).

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

1120011022000 is a wasteful number, since it uses less digits than its factorization.

1120011022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1120011022000 its reverse (2201100211), we get a palindrome (1122212122211).

The spelling of 1120011022000 in words is "one trillion, one hundred twenty billion, eleven million, twenty-two thousand".