Search a number
-
+
122132110020000 = 2535423293302053
BaseRepresentation
bin11011110001010000011001…
…000010001000110110100000
3121000102201022201221020211020
4123301100121002020312200
5112002003030131120000
61111430414454045440
734503516353265333
oct3361203102106640
9530381281836736
10122132110020000
1135a07a34146403
1211846030649880
13531c015a513c2
14222332332261a
15e1be0a83cba0
hex6f1419088da0

122132110020000 has 480 divisors, whose sum is σ = 419464042639488. Its totient is φ = 31046112768000.

The previous prime is 122132110019981. The next prime is 122132110020043. The reversal of 122132110020000 is 20011231221.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 404188974 + ... + 404491026.

Almost surely, 2122132110020000 is an apocalyptic number.

122132110020000 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 122132110020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209732021319744).

122132110020000 is an abundant number, since it is smaller than the sum of its proper divisors (297331932619488).

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

122132110020000 is a wasteful number, since it uses less digits than its factorization.

122132110020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302402 (or 302379 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122132110020000 its reverse (20011231221), we get a palindrome (122152121251221).

The spelling of 122132110020000 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, one hundred ten million, twenty thousand".