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120222121021020 = 223251104416047579
BaseRepresentation
bin11011010101011101100100…
…110100010100111001011100
3120202200010022022200000112200
4123111131210310110321130
5111224204400440133040
61103405140245131500
734215522142542624
oct3325354464247134
9522603268600480
10120222121021020
1135340a0814a967
1211597a290b9b90
135210b886916a5
142198ad2dd5884
15dd73beb61630
hex6d5764d14e5c

120222121021020 has 72 divisors (see below), whose sum is σ = 364677129376560. Its totient is φ = 32058936687360.

The previous prime is 120222121020979. The next prime is 120222121021033. The reversal of 120222121021020 is 20120121222021.

It is a happy number.

120222121021020 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 221 + 210 + 210 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120222121020984 and 120222121021002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16855591 + ... + 22903169.

It is an arithmetic number, because the mean of its divisors is an integer number (5064960130230).

Almost surely, 2120222121021020 is an apocalyptic number.

120222121021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222121021020 is an abundant number, since it is smaller than the sum of its proper divisors (244455008355540).

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

120222121021020 is a wasteful number, since it uses less digits than its factorization.

120222121021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158035 (or 6158030 counting only the distinct ones).

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

Adding to 120222121021020 its reverse (20120121222021), we get a palindrome (140342242243041).

The spelling of 120222121021020 in words is "one hundred twenty trillion, two hundred twenty-two billion, one hundred twenty-one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 110441 220882 331323 441764 552205 662646 993969 1104410 1325292 1656615 1987938 2208820 3313230 3975876 4969845 6047579 6626460 9939690 12095158 18142737 19879380 24190316 30237895 36285474 54428211 60475790 72570948 90713685 108856422 120951580 181427370 217712844 272141055 362854740 544282110 1088564220 667900672339 1335801344678 2003702017017 2671602689356 3339503361695 4007404034034 6011106051051 6679006723390 8014808068068 10018510085085 12022212102102 13358013446780 20037020170170 24044424204204 30055530255255 40074040340340 60111060510510 120222121021020