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122121002020020 = 22352847771473471
BaseRepresentation
bin11011110001000110000010…
…111100011110110010110100
3121000101122122121021101110120
4123301012002330132302310
5112001312303004120040
61111421340331051540
734502644162660623
oct3361060274366264
9530348577241416
10122121002020020
1135a03253a52633
1211843a505a0bb0
13531ac65641b53
14222298bd7b6ba
15e1b9aa5687d0
hex6f1182f1ecb4

122121002020020 has 48 divisors (see below), whose sum is σ = 341950817983488. Its totient is φ = 32564456507520.

The previous prime is 122121002020019. The next prime is 122121002020049. The reversal of 122121002020020 is 20020200121221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34028116 + ... + 37445355.

It is an arithmetic number, because the mean of its divisors is an integer number (7123975374656).

Almost surely, 2122121002020020 is an apocalyptic number.

122121002020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121002020020 is an abundant number, since it is smaller than the sum of its proper divisors (219829815963468).

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

122121002020020 is a wasteful number, since it uses less digits than its factorization.

122121002020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71501960 (or 71501958 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122121002020020 its reverse (20020200121221), we get a palindrome (142141202141241).

The spelling of 122121002020020 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 28477 56954 85431 113908 142385 170862 284770 341724 427155 569540 854310 1708620 71473471 142946942 214420413 285893884 357367355 428840826 714734710 857681652 1072102065 1429469420 2144204130 4288408260 2035350033667 4070700067334 6106050101001 8141400134668 10176750168335 12212100202002 20353500336670 24424200404004 30530250505005 40707000673340 61060501010010 122121002020020