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212011221121120 = 2559071460937301
BaseRepresentation
bin110000001101001010110101…
…100001011111100001100000
31000210200002000112020011202101
4300031022311201133201200
5210242042440101333440
62030524335503100144
762441206462306051
oct6015126541374140
91023602015204671
10212011221121120
116160a4aa224573
121b941240ba1654
13913b759646bb5
143a4d57d9d2728
151979d7217b69a
hexc0d2b585f860

212011221121120 has 48 divisors (see below), whose sum is σ = 501428744541648. Its totient is φ = 84710988403200.

The previous prime is 212011221121069. The next prime is 212011221121121. The reversal of 212011221121120 is 21121122110212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011221121121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 730323531 + ... + 730613770.

It is an arithmetic number, because the mean of its divisors is an integer number (10446432177951).

Almost surely, 2212011221121120 is an apocalyptic number.

212011221121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011221121120 is an abundant number, since it is smaller than the sum of its proper divisors (289417523420528).

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

212011221121120 is a wasteful number, since it uses less digits than its factorization.

212011221121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460938223 (or 1460938215 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 212011221121120 its reverse (21121122110212), we get a palindrome (233132343231332).

The spelling of 212011221121120 in words is "two hundred twelve trillion, eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 907 1814 3628 4535 7256 9070 14512 18140 29024 36280 72560 145120 1460937301 2921874602 5843749204 7304686505 11687498408 14609373010 23374996816 29218746020 46749993632 58437492040 116874984080 233749968160 1325070132007 2650140264014 5300280528028 6625350660035 10600561056056 13250701320070 21201122112112 26501402640140 42402244224224 53002805280280 106005610560560 212011221121120