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122020122020000 = 255410161019901
BaseRepresentation
bin11011101111101000000110…
…000001110100100010100000
3121000001000021002202102010112
4123233220012001310202200
5111443134202214120000
61111303134210350452
734462443242062451
oct3357500601644240
9530030232672115
10122020122020000
1135974496905496
1211828397b8b428
1353115a971c149
14221bb3c0c9128
15e19053e53235
hex6efa060748a0

122020122020000 has 240 divisors, whose sum is σ = 303240274006824. Its totient is φ = 48312000000000.

The previous prime is 122020122019987. The next prime is 122020122020051. The reversal of 122020122020000 is 20221020221.

It can be written as a sum of positive squares in 20 ways, for example, as 73421489296 + 121946700530704 = 270964^2 + 11042948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12324015050 + ... + 12324024950.

Almost surely, 2122020122020000 is an apocalyptic number.

122020122020000 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 122020122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151620137003412).

122020122020000 is an abundant number, since it is smaller than the sum of its proper divisors (181220151986824).

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

122020122020000 is an equidigital number, since it uses as much as digits as its factorization.

122020122020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16133 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122020122020000 its reverse (20221020221), we get a palindrome (122040343040221).

The spelling of 122020122020000 in words is "one hundred twenty-two trillion, twenty billion, one hundred twenty-two million, twenty thousand".