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11212202001000 = 233537211131015281
BaseRepresentation
bin1010001100101000101101…
…0100010100001001101000
31110200212122122011020102210
42203022023110110021220
52432200042203013000
635502451532525120
72235024550344300
oct243121324241150
943625578136383
1011212202001000
113633082801060
121310bbb9207a0
136343c96b2a60
142aa960018600
151469c5ea1350
hexa328b514268

11212202001000 has 1536 divisors, whose sum is σ = 48290150039040. Its totient is φ = 2128896000000.

The previous prime is 11212202000957. The next prime is 11212202001037. The reversal of 11212202001000 is 10020221211.

It is a super-2 number, since 2×112122020010002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 2123118360 + ... + 2123123640.

It is an arithmetic number, because the mean of its divisors is an integer number (31438899765).

Almost surely, 211212202001000 is an apocalyptic number.

11212202001000 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 11212202001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24145075019520).

11212202001000 is an abundant number, since it is smaller than the sum of its proper divisors (37077948038040).

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

11212202001000 is a wasteful number, since it uses less digits than its factorization.

11212202001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11212202001000 its reverse (10020221211), we get a palindrome (11222222222211).

The spelling of 11212202001000 in words is "eleven trillion, two hundred twelve billion, two hundred two million, one thousand".