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122112441020 = 22519417837769
BaseRepresentation
bin111000110111001110…
…1111111101010111100
3102200012020002201210202
41301232131333222330
54000041241103040
6132033033223032
711552026423403
oct1615635775274
9380166081722
10122112441020
1147873320349
121b7bb261a78
13b690a3cb7b
145ca5b1063a
15329a679015
hex1c6e77fabc

122112441020 has 48 divisors (see below), whose sum is σ = 276516525600. Its totient is φ = 45145543680.

The previous prime is 122112440953. The next prime is 122112441029. The reversal of 122112441020 is 20144211221.

It is a super-2 number, since 2×1221124410202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122112440983 and 122112441001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112441029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3903305 + ... + 3934464.

It is an arithmetic number, because the mean of its divisors is an integer number (5760760950).

Almost surely, 2122112441020 is an apocalyptic number.

122112441020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112441020 is an abundant number, since it is smaller than the sum of its proper divisors (154404084580).

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

122112441020 is a wasteful number, since it uses less digits than its factorization.

122112441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7837838 (or 7837836 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122112441020 its reverse (20144211221), we get a palindrome (142256652241).

The spelling of 122112441020 in words is "one hundred twenty-two billion, one hundred twelve million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 779 820 1558 3116 3895 7790 15580 7837769 15675538 31351076 39188845 78377690 148917611 156755380 297835222 321348529 595670444 642697058 744588055 1285394116 1489176110 1606742645 2978352220 3213485290 6105622051 6426970580 12211244102 24422488204 30528110255 61056220510 122112441020