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2120211122000 = 245310317335939
BaseRepresentation
bin11110110110100110011…
…011100100011101010000
321111200122011021120101212
4132312212123210131100
5234214143021401000
64302002254315252
7306115544116346
oct36664633443520
97450564246355
102120211122000
117481a39a4aa4
122a2ab24b8b28
13124c203cb1aa
1474893c71996
153a241787c35
hex1eda66e4750

2120211122000 has 160 divisors (see below), whose sum is σ = 5180303082240. Its totient is φ = 839224665600.

The previous prime is 2120211121999. The next prime is 2120211122101. The reversal of 2120211122000 is 2211120212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356995031 + ... + 357000969.

It is an arithmetic number, because the mean of its divisors is an integer number (32376894264).

Almost surely, 22120211122000 is an apocalyptic number.

2120211122000 is a gapful number since it is divisible by the number (20) 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 2120211122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590151541120).

2120211122000 is an abundant number, since it is smaller than the sum of its proper divisors (3060091960240).

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

2120211122000 is a wasteful number, since it uses less digits than its factorization.

2120211122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7798 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2120211122000 its reverse (2211120212), we get a palindrome (2122422242212).

The spelling of 2120211122000 in words is "two trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 125 200 206 250 400 412 500 515 824 1000 1030 1648 1733 2000 2060 2575 3466 4120 5150 5939 6932 8240 8665 10300 11878 12875 13864 17330 20600 23756 25750 27728 29695 34660 41200 43325 47512 51500 59390 69320 86650 95024 103000 118780 138640 148475 173300 178499 206000 216625 237560 296950 346600 356998 433250 475120 593900 611717 693200 713996 742375 866500 892495 1187800 1223434 1427992 1484750 1733000 1784990 2375600 2446868 2855984 2969500 3058585 3466000 3569980 4462475 4893736 5939000 6117170 7139960 8924950 9787472 10292287 11878000 12234340 14279920 15292925 17849900 20584574 22312375 24468680 30585850 35699800 41169148 44624750 48937360 51461435 61171700 71399600 76464625 82338296 89249500 102922870 122343400 152929250 164676592 178499000 205845740 244686800 257307175 305858500 356998000 411691480 514614350 611717000 823382960 1029228700 1060105561 1223434000 1286535875 2058457400 2120211122 2573071750 4116914800 4240422244 5146143500 5300527805 8480844488 10292287000 10601055610 16961688976 20584574000 21202111220 26502639025 42404222440 53005278050 84808444880 106010556100 132513195125 212021112200 265026390250 424042224400 530052780500 1060105561000 2120211122000