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1221111020010 = 2357411231115211
BaseRepresentation
bin10001110001001111111…
…000110111100111101010
311022201220022211001011110
4101301033320313213222
5130001313410120020
62332545355011150
7154136161261230
oct21611770674752
94281808731143
101221111020010
11430963377972
121787ab739ab6
138b1c520121b
14431601ba950
1521b6d2678e0
hex11c4fe379ea

1221111020010 has 128 divisors (see below), whose sum is σ = 3433841123328. Its totient is φ = 272079936000.

The previous prime is 1221111019967. The next prime is 1221111020021. The reversal of 1221111020010 is 100201111221.

It is a super-2 number, since 2×12211110200102 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10541305 + ... + 10656515.

It is an arithmetic number, because the mean of its divisors is an integer number (26826883776).

Almost surely, 21221111020010 is an apocalyptic number.

1221111020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221111020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716920561664).

1221111020010 is an abundant number, since it is smaller than the sum of its proper divisors (2212730103318).

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

1221111020010 is a wasteful number, since it uses less digits than its factorization.

1221111020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116500.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1221111020010 its reverse (100201111221), we get a palindrome (1321312131231).

The spelling of 1221111020010 in words is "one trillion, two hundred twenty-one billion, one hundred eleven million, twenty thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1231 1435 1722 2462 2870 3693 4305 6155 7386 8610 8617 12310 17234 18465 25851 36930 43085 50471 51702 86170 100942 115211 129255 151413 230422 252355 258510 302826 345633 353297 504710 576055 691266 706594 757065 806477 1059891 1152110 1514130 1612954 1728165 1766485 2119782 2419431 3456330 3532970 4032385 4723651 4838862 5299455 8064770 9447302 10598910 12097155 14170953 23618255 24194310 28341906 33065557 47236510 66131114 70854765 99196671 141709530 141824741 165327785 198393342 283649482 330655570 425474223 495983355 709123705 850948446 991966710 992773187 1418247410 1985546374 2127371115 2978319561 4254742230 4963865935 5814814381 5956639122 9927731870 11629628762 14891597805 17444443143 29074071905 29783195610 34888886286 40703700667 58148143810 81407401334 87222215715 122111102001 174444431430 203518503335 244222204002 407037006670 610555510005 1221111020010