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12102021001120 = 2552292731120943
BaseRepresentation
bin1011000000011011100010…
…1010011010111110100000
31120211221102122120221101111
42300012320222122332200
53041234414334013440
641423331450113104
72356225235141401
oct260067052327640
946757378527344
1012102021001120
1139464903a0a66
12143555241b794
1369a2a5b1a67b
142dba532039a8
1515ec047ba4ea
hexb01b8a9afa0

12102021001120 has 96 divisors (see below), whose sum is σ = 28726628555520. Its totient is φ = 4817864862720.

The previous prime is 12102021001069. The next prime is 12102021001157. The reversal of 12102021001120 is 2110012020121.

It is a self number, because there is not a number n which added to its sum of digits gives 12102021001120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100003369 + ... + 100124311.

It is an arithmetic number, because the mean of its divisors is an integer number (299235714120).

Almost surely, 212102021001120 is an apocalyptic number.

12102021001120 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 12102021001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14363314277760).

12102021001120 is an abundant number, since it is smaller than the sum of its proper divisors (16624607554400).

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

12102021001120 is a wasteful number, since it uses less digits than its factorization.

12102021001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123918 (or 123910 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12102021001120 its reverse (2110012020121), we get a palindrome (14212033021241).

The spelling of 12102021001120 in words is "twelve trillion, one hundred two billion, twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 229 458 916 1145 1832 2290 2731 3664 4580 5462 7328 9160 10924 13655 18320 21848 27310 36640 43696 54620 87392 109240 120943 218480 241886 436960 483772 604715 625399 967544 1209430 1250798 1935088 2418860 2501596 3126995 3870176 4837720 5003192 6253990 9675440 10006384 12507980 19350880 20012768 25015960 27695947 50031920 55391894 100063840 110783788 138479735 221567576 276959470 330295333 443135152 553918940 660590666 886270304 1107837880 1321181332 1651476665 2215675760 2642362664 3302953330 4431351520 5284725328 6605906660 10569450656 13211813320 26423626640 52847253280 75637631257 151275262514 302550525028 378188156285 605101050056 756376312570 1210202100112 1512752625140 2420404200224 3025505250280 6051010500560 12102021001120