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2022002121120 = 253516069262151
BaseRepresentation
bin11101011011001000101…
…101111101100110100000
321011022010210201102001220
4131123020231331212200
5231112030020333440
64144521150455040
7266041045306542
oct35331055754640
97138123642056
102022002121120
1170a587536063
12287a64504480
1311889b979957
146dc18a23692
15378e48c98d0
hex1d6c8b7d9a0

2022002121120 has 96 divisors (see below), whose sum is σ = 6369727351680. Its totient is φ = 539164953600.

The previous prime is 2022002121109. The next prime is 2022002121127. The reversal of 2022002121120 is 211212002202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2022002121120.

It is not an unprimeable number, because it can be changed into a prime (2022002121127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7582045 + ... + 7844195.

It is an arithmetic number, because the mean of its divisors is an integer number (66351326580).

Almost surely, 22022002121120 is an apocalyptic number.

2022002121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022002121120 is an abundant number, since it is smaller than the sum of its proper divisors (4347725230560).

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

2022002121120 is a wasteful number, since it uses less digits than its factorization.

2022002121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278238 (or 278230 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2022002121120 its reverse (211212002202), we get a palindrome (2233214123322).

The spelling of 2022002121120 in words is "two trillion, twenty-two billion, two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 16069 32138 48207 64276 80345 96414 128552 160690 192828 241035 257104 262151 321380 385656 482070 514208 524302 642760 771312 786453 964140 1048604 1285520 1310755 1542624 1572906 1928280 2097208 2571040 2621510 3145812 3856560 3932265 4194416 5243020 6291624 7713120 7864530 8388832 10486040 12583248 15729060 20972080 25166496 31458120 41944160 62916240 125832480 4212504419 8425008838 12637513257 16850017676 21062522095 25275026514 33700035352 42125044190 50550053028 63187566285 67400070704 84250088380 101100106056 126375132570 134800141408 168500176760 202200212112 252750265140 337000353520 404400424224 505500530280 674000707040 1011001060560 2022002121120