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120022201011020 = 225711216345179623
BaseRepresentation
bin11011010010100011011000…
…101010000000101101001100
3120201222000021112220020200212
4123102203120222000231030
5111212420431424323040
61103133234333341552
734165214012520620
oct3322433052005514
9521860245806625
10120022201011020
1135274147553400
12115651343378b8
1351c8077acb199
14218d1697b7180
15dd20bd73cd65
hex6d28d8a80b4c

120022201011020 has 288 divisors, whose sum is σ = 318666644481024. Its totient is φ = 37167917022720.

The previous prime is 120022201011007. The next prime is 120022201011049. The reversal of 120022201011020 is 20110102220021.

It is a super-4 number, since 4×1200222010110204 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120022201010986 and 120022201011004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12472425929 + ... + 12472435551.

It is an arithmetic number, because the mean of its divisors is an integer number (1106481404448).

Almost surely, 2120022201011020 is an apocalyptic number.

120022201011020 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 120022201011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159333322240512).

120022201011020 is an abundant number, since it is smaller than the sum of its proper divisors (198644443470004).

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

120022201011020 is a wasteful number, since it uses less digits than its factorization.

120022201011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14341 (or 14328 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120022201011020 its reverse (20110102220021), we get a palindrome (140132303231041).

The spelling of 120022201011020 in words is "one hundred twenty trillion, twenty-two billion, two hundred one million, eleven thousand, twenty".