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1001222100000 = 2533551929673
BaseRepresentation
bin11101001000111010111…
…11001101010000100000
310112201022220000112112000
432210131133031100200
5112401000324200000
62043542144204000
7132223134300543
oct16443537152040
93481286015460
101001222100000
113566858567a1
12142063309600
137355152a235
143666088a85a
151b09dbba000
hexe91d7cd420

1001222100000 has 1152 divisors, whose sum is σ = 3980557728000. Its totient is φ = 243855360000.

The previous prime is 1001222099993. The next prime is 1001222100037. The reversal of 1001222100000 is 12221001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1487699664 + ... + 1487700336.

It is an arithmetic number, because the mean of its divisors is an integer number (3455345250).

Almost surely, 21001222100000 is an apocalyptic number.

1001222100000 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 1001222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990278864000).

1001222100000 is an abundant number, since it is smaller than the sum of its proper divisors (2979335628000).

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

1001222100000 is an equidigital number, since it uses as much as digits as its factorization.

1001222100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001222100000 its reverse (12221001), we get a palindrome (1001234321001).

The spelling of 1001222100000 in words is "one trillion, one billion, two hundred twenty-two million, one hundred thousand".