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2212121350120 = 23511191312019907
BaseRepresentation
bin100000001100001100101…
…101010000111111101000
321211110212112120220212211
4200030030231100333220
5242220411031200440
64412122353414504
7315551300142163
oct40141455207750
97743775526784
102212121350120
11783178917810
122b8882b6a434
131307a9bc5666
14790d273aada
153c820692eea
hex2030cb50fe8

2212121350120 has 128 divisors (see below), whose sum is σ = 5759161689600. Its totient is φ = 756252806400.

The previous prime is 2212121350091. The next prime is 2212121350217. The reversal of 2212121350120 is 210531212122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2212121350091 and 2212121350100.

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, 85207 + ... + 2105113.

It is an arithmetic number, because the mean of its divisors is an integer number (44993450700).

Almost surely, 22212121350120 is an apocalyptic number.

2212121350120 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 2212121350120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879580844800).

2212121350120 is an abundant number, since it is smaller than the sum of its proper divisors (3547040339480).

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

2212121350120 is a wasteful number, since it uses less digits than its factorization.

2212121350120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020079 (or 2020075 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 2212121350120 its reverse (210531212122), we get a palindrome (2422652562242).

The spelling of 2212121350120 in words is "two trillion, two hundred twelve billion, one hundred twenty-one million, three hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 131 152 190 209 220 262 380 418 440 524 655 760 836 1045 1048 1310 1441 1672 2090 2489 2620 2882 4180 4978 5240 5764 7205 8360 9956 11528 12445 14410 19912 24890 27379 28820 49780 54758 57640 99560 109516 136895 219032 273790 547580 1095160 2019907 4039814 8079628 10099535 16159256 20199070 22218977 38378233 40398140 44437954 76756466 80796280 88875908 111094885 153512932 177751816 191891165 222189770 264607817 307025864 383782330 422160563 444379540 529215634 767564660 844321126 888759080 1058431268 1323039085 1535129320 1688642252 2110802815 2116862536 2646078170 2910685987 3377284504 4221605630 5027548523 5292156340 5821371974 8443211260 10055097046 10584312680 11642743948 14553429935 16886422520 20110194092 23285487896 25137742615 29106859870 40220388184 50275485230 55303033753 58213719740 100550970460 110606067506 116427439480 201101940920 221212135012 276515168765 442424270024 553030337530 1106060675060 2212121350120