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120122210020 = 22519691457469
BaseRepresentation
bin110111111011111010…
…1110111011011100100
3102111001112010112010111
41233313311313123210
53432002241210040
6131103335502404
711451511636561
oct1576765673344
9374045115114
10120122210020
1146a4194633a
121b344827a04
13b4346061a7
145b57679868
1531d0a95dea
hex1bf7d776e4

120122210020 has 48 divisors (see below), whose sum is σ = 265918161600. Its totient is φ = 45454020480.

The previous prime is 120122210011. The next prime is 120122210063. The reversal of 120122210020 is 20012221021.

It is a happy number.

It is a super-3 number, since 3×1201222100203 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33846 + ... + 491314.

It is an arithmetic number, because the mean of its divisors is an integer number (5539961700).

Almost surely, 2120122210020 is an apocalyptic number.

120122210020 is a gapful number since it is divisible by the number (10) 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 120122210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132959080800).

120122210020 is an abundant number, since it is smaller than the sum of its proper divisors (145795951580).

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

120122210020 is a wasteful number, since it uses less digits than its factorization.

120122210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458188 (or 458186 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120122210020 its reverse (20012221021), we get a palindrome (140134431041).

The spelling of 120122210020 in words is "one hundred twenty billion, one hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 691 1382 2764 3455 6910 13129 13820 26258 52516 65645 131290 262580 457469 914938 1829876 2287345 4574690 8691911 9149380 17383822 34767644 43459555 86919110 173838220 316111079 632222158 1264444316 1580555395 3161110790 6006110501 6322221580 12012221002 24024442004 30030552505 60061105010 120122210020