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122103212112032 = 25206916417112337
BaseRepresentation
bin11011110000110101011110…
…100101010111100010100000
3121000022221201210102102111112
4123300311132211113202200
5112001014334300041112
61111405235151402452
734501444265154644
oct3360653645274240
9530287653372445
10122103212112032
11359a6755016438
1211840506823428
13531938bac0288
142221b813dcc24
15e1b2b885ea22
hex6f0d5e9578a0

122103212112032 has 48 divisors (see below), whose sum is σ = 240523676686440. Its totient is φ = 61017838092288.

The previous prime is 122103212111999. The next prime is 122103212112097. The reversal of 122103212112032 is 230211212301221.

It can be written as a sum of positive squares in 4 ways, for example, as 92831606327056 + 29271605784976 = 9634916^2 + 5410324^2 .

It is a super-2 number, since 2×1221032121120322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122103212111989 and 122103212112007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1086880568 + ... + 1086992904.

Almost surely, 2122103212112032 is an apocalyptic number.

It is an amenable number.

122103212112032 is a deficient number, since it is larger than the sum of its proper divisors (118420464574408).

122103212112032 is a wasteful number, since it uses less digits than its factorization.

122103212112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130833 (or 130825 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 122103212112032 its reverse (230211212301221), we get a palindrome (352314424413253).

The spelling of 122103212112032 in words is "one hundred twenty-two trillion, one hundred three billion, two hundred twelve million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 2069 4138 8276 16417 16552 32834 33104 65668 66208 112337 131336 224674 262672 449348 525344 898696 1797392 3594784 33966773 67933546 135867092 232425253 271734184 464850506 543468368 929701012 1086936736 1844236529 1859402024 3688473058 3718804048 7376946116 7437608096 14753892232 29507784464 59015568928 3815725378501 7631450757002 15262901514004 30525803028008 61051606056016 122103212112032