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122020021020020 = 2256101001051001
BaseRepresentation
bin11011101111101000000000…
…000000100010010101110100
3121000001000000001201002012112
4123233220000000202111310
5111443134000340120040
61111303120201510152
734462440604434044
oct3357500000422564
9530030001632175
10122020021020020
11359744448a0732
121182836a1a2358
135311591818446
14221bb2c917724
15e1904a152365
hex6efa00022574

122020021020020 has 12 divisors (see below), whose sum is σ = 256242044142084. Its totient is φ = 48808008408000.

The previous prime is 122020021019999. The next prime is 122020021020031. The reversal of 122020021020020 is 20020120020221.

It can be written as a sum of positive squares in 2 ways, for example, as 52180772587876 + 69839248432144 = 7223626^2 + 8356988^2 .

It is a super-2 number, since 2×1220200210200202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122020021019977 and 122020021020004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3050500525481 + ... + 3050500525520.

It is an arithmetic number, because the mean of its divisors is an integer number (21353503678507).

Almost surely, 2122020021020020 is an apocalyptic number.

122020021020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020021020020 is an abundant number, since it is smaller than the sum of its proper divisors (134222023122064).

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

122020021020020 is a wasteful number, since it uses less digits than its factorization.

122020021020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101001051010 (or 6101001051008 counting only the distinct ones).

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

Adding to 122020021020020 its reverse (20020120020221), we get a palindrome (142040141040241).

The spelling of 122020021020020 in words is "one hundred twenty-two trillion, twenty billion, twenty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 6101001051001 12202002102002 24404004204004 30505005255005 61010010510010 122020021020020