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101220222012000 = 253537133137211383
BaseRepresentation
bin10111000000111100101011…
…011000001000101001100000
3111021101120002022022021201120
4113000330223120020221200
5101231343003313341000
6555135532243132240
730214630314125430
oct2700745330105140
9437346068267646
10101220222012000
112a28528957a183
12b4291a7674080
1344630450cba10
141add128cd42c0
15ba7e8497c6a0
hex5c0f2b608a60

101220222012000 has 3072 divisors, whose sum is σ = 435856796024832. Its totient is φ = 19961303040000.

The previous prime is 101220222011989. The next prime is 101220222012001. The reversal of 101220222012000 is 210222022101.

101220222012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220222012001) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 264282563809 + ... + 264282564191.

It is an arithmetic number, because the mean of its divisors is an integer number (141880467456).

Almost surely, 2101220222012000 is an apocalyptic number.

101220222012000 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 101220222012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217928398012416).

101220222012000 is an abundant number, since it is smaller than the sum of its proper divisors (334636574012832).

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

101220222012000 is a wasteful number, since it uses less digits than its factorization.

101220222012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101220222012000 its reverse (210222022101), we get a palindrome (101430444034101).

The spelling of 101220222012000 in words is "one hundred one trillion, two hundred twenty billion, two hundred twenty-two million, twelve thousand".