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122021121042444 = 223137957791713289
BaseRepresentation
bin11011101111101001000001…
…100100110010100000001100
3121000001002211201121000021210
4123233221001210302200030
5111443143223441324234
61111303421255054420
734462510062452361
oct3357510144624014
9530032751530253
10122021121042444
1135974959820878
1211828616671410
1353117086a63a0
14221bbd4a60468
15e190b19debe9
hex6efa4193280c

122021121042444 has 96 divisors (see below), whose sum is σ = 310552316032000. Its totient is φ = 37063271471616.

The previous prime is 122021121042389. The next prime is 122021121042479. The reversal of 122021121042444 is 444240121120221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70363752 + ... + 72077040.

Almost surely, 2122021121042444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122021121042444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155276158016000).

122021121042444 is an abundant number, since it is smaller than the sum of its proper divisors (188531194989556).

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

122021121042444 is a wasteful number, since it uses less digits than its factorization.

122021121042444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719167 (or 1719165 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 122021121042444 its reverse (444240121120221), we get a palindrome (566261242162665).

The spelling of 122021121042444 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred twenty-one million, forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 237 316 474 948 1027 2054 3081 4108 5779 6162 11558 12324 17337 23116 34674 69348 75127 150254 225381 300508 450762 456541 901524 913082 1369623 1713289 1826164 2739246 3426578 5139867 5478492 5935033 6853156 10279734 11870066 17805099 20559468 22272757 23740132 35610198 44545514 66818271 71220396 89091028 133636542 135349831 267273084 270699662 406049493 541399324 812098986 1624197972 1759547803 3519095606 5278643409 7038191212 9901097131 10557286818 19802194262 21114573636 29703291393 39604388524 59406582786 118813165572 128714262703 257428525406 386142788109 514857050812 772285576218 782186673349 1544571152436 1564373346698 2346560020047 3128746693396 4693120040094 9386240080188 10168426753537 20336853507074 30505280260611 40673707014148 61010560521222 122021121042444