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210120221202012 = 2232112691972515313
BaseRepresentation
bin101111110001101001101101…
…001001010001011001011100
31000112222022000111021011000100
4233301221231021101121130
5210020102203111431022
62022515521432101100
762154453650225262
oct5761515511213134
91015868014234010
10210120221202012
1160a50538055870
121b696858b34790
1390323373a0314
1439c5c315da432
151945a985ce1ac
hexbf1a6d25165c

210120221202012 has 72 divisors (see below), whose sum is σ = 581576415179760. Its totient is φ = 63436092433920.

The previous prime is 210120221201923. The next prime is 210120221202019. The reversal of 210120221202012 is 210202122021012.

It is a happy number.

210120221202012 is a `hidden beast` number, since 210 + 1 + 20 + 221 + 202 + 0 + 12 = 666.

It is a super-2 number, since 2×2101202212020122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210120221202019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 986151133 + ... + 986364180.

It is an arithmetic number, because the mean of its divisors is an integer number (8077450210830).

Almost surely, 2210120221202012 is an apocalyptic number.

210120221202012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210120221202012 is an abundant number, since it is smaller than the sum of its proper divisors (371456193977748).

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

210120221202012 is a wasteful number, since it uses less digits than its factorization.

210120221202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972515603 (or 1972515598 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210120221202012 its reverse (210202122021012), we get a palindrome (420322343223024).

The spelling of 210120221202012 in words is "two hundred ten trillion, one hundred twenty billion, two hundred twenty-one million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 269 396 538 807 1076 1614 2421 2959 3228 4842 5918 8877 9684 11836 17754 26631 35508 53262 106524 1972515313 3945030626 5917545939 7890061252 11835091878 17752637817 21697668443 23670183756 35505275634 43395336886 65093005329 71010551268 86790673772 130186010658 195279015987 260372021316 390558031974 530606619197 781116063948 1061213238394 1591819857591 2122426476788 3183639715182 4775459572773 5836672811167 6367279430364 9550919145546 11673345622334 17510018433501 19101838291092 23346691244668 35020036867002 52530055300503 70040073734004 105060110601006 210120221202012