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1121211020020 = 225713312641051
BaseRepresentation
bin10000010100001101011…
…000100111001011110100
310222012001010100020010211
4100110031120213023310
5121332220010120040
62215024403155204
7144001440265030
oct20241530471364
93865033306124
101121211020020
113a2559433303
1216136b375b04
13819643352b0
143c3a454b1c0
151e272bd28ea
hex1050d6272f4

1121211020020 has 144 divisors (see below), whose sum is σ = 2994400047744. Its totient is φ = 343397664000.

The previous prime is 1121211019967. The next prime is 1121211020029. The reversal of 1121211020020 is 200201121211.

It is a super-2 number, since 2×11212110200202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121211020029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1428495 + ... + 2069545.

It is an arithmetic number, because the mean of its divisors is an integer number (20794444776).

Almost surely, 21121211020020 is an apocalyptic number.

1121211020020 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 1121211020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497200023872).

1121211020020 is an abundant number, since it is smaller than the sum of its proper divisors (1873189027724).

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

1121211020020 is a wasteful number, since it uses less digits than its factorization.

1121211020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641142 (or 641109 counting only the distinct ones).

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

Adding to 1121211020020 its reverse (200201121211), we get a palindrome (1321412141231).

The spelling of 1121211020020 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 403 434 455 620 806 868 910 961 1085 1612 1820 1922 2015 2170 2821 3844 4030 4340 4805 5642 6727 8060 9610 11284 12493 13454 14105 19220 24986 26908 28210 33635 49972 56420 62465 67270 87451 124930 134540 174902 249860 349804 437255 641051 874510 1282102 1749020 2564204 3205255 4487357 6410510 8333663 8974714 12821020 16667326 17949428 19872581 22436785 33334652 39745162 41668315 44873570 58335641 79490324 83336630 89747140 99362905 116671282 139108067 166673260 198725810 233342564 258343553 278216134 291678205 397451620 516687106 556432268 583356410 616050011 695540335 1033374212 1166712820 1232100022 1291717765 1391080670 1808404871 2464200044 2583435530 2782161340 3080250055 3616809742 4312350077 5166871060 6160500110 7233619484 8008650143 8624700154 9042024355 12321000220 16017300286 17249400308 18084048710 21561750385 32034600572 36168097420 40043250715 43123500770 56060551001 80086501430 86247001540 112121102002 160173002860 224242204004 280302755005 560605510010 1121211020020