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12121022021202 = 233832199163733
BaseRepresentation
bin1011000001100010010100…
…1101100011111001010010
31120220202110212100202211000
42300120211031203321102
53042042323114134302
641440153132002430
72360500140143403
oct260304515437122
946822425322730
1012121022021202
113953550a33646
121439175900416
1369c013554513
142dc9369659aa
151604679a731c
hexb0625363e52

12121022021202 has 96 divisors (see below), whose sum is σ = 27401212368000. Its totient is φ = 3971579011488.

The previous prime is 12121022021177. The next prime is 12121022021219. The reversal of 12121022021202 is 20212022012121.

It is a happy number.

12121022021202 is a `hidden beast` number, since 1 + 21 + 210 + 220 + 212 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73947328 + ... + 74111060.

It is an arithmetic number, because the mean of its divisors is an integer number (285429295500).

Almost surely, 212121022021202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121022021202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13700606184000).

12121022021202 is an abundant number, since it is smaller than the sum of its proper divisors (15280190346798).

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

12121022021202 is a wasteful number, since it uses less digits than its factorization.

12121022021202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164109 (or 164020 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12121022021202 its reverse (20212022012121), we get a palindrome (32333044033323).

The spelling of 12121022021202 in words is "twelve trillion, one hundred twenty-one billion, twenty-two million, twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 83 166 199 249 398 498 597 747 1194 1494 1791 2241 3582 4482 5373 6889 10746 13778 16517 20667 33034 41334 49551 62001 99102 124002 148653 163733 186003 297306 327466 372006 445959 491199 891918 982398 1370911 1473597 2741822 2947194 4112733 4420791 8225466 8841582 12338199 13589839 24676398 27179678 32582867 37014597 40769517 65165734 74029194 81539034 97748601 122308551 195497202 244617102 293245803 366925653 586491606 733851306 879737409 1127956637 1759474818 2255913274 2704377961 3383869911 5408755922 6767739822 8113133883 10151609733 16226267766 20303219466 24339401649 30454829199 48678803298 60909658398 73018204947 146036409894 224463370763 448926741526 673390112289 1346780224578 2020170336867 4040340673734 6060511010601 12121022021202