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122021000000 = 2656122021
BaseRepresentation
bin111000110100100000…
…1001011001101000000
3102122221212001001022022
41301221001023031000
53444344334000000
6132020005301012
711546536246454
oct1615101131500
9378855031268
10122021000000
1147826745359
121b794704768
13b677b05063
145c9790a664
153292615585
hex1c6904b340

122021000000 has 98 divisors (see below), whose sum is σ = 302667883614. Its totient is φ = 48808000000.

The previous prime is 122020999999. The next prime is 122021000027. The reversal of 122021000000 is 120221.

It can be written as a sum of positive squares in 7 ways, for example, as 120292436224 + 1728563776 = 346832^2 + 41576^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 938990 + ... + 1061010.

Almost surely, 2122021000000 is an apocalyptic number.

122021000000 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 122021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151333941807).

122021000000 is an abundant number, since it is smaller than the sum of its proper divisors (180646883614).

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

122021000000 is an frugal number, since it uses more digits than its factorization.

122021000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122063 (or 122028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 122021000000 its reverse (120221), we get a palindrome (122021120221).

The spelling of 122021000000 in words is "one hundred twenty-two billion, twenty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 122021 125000 200000 244042 250000 488084 500000 610105 976168 1000000 1220210 1952336 2440420 3050525 3904672 4880840 6101050 7809344 9761680 12202100 15252625 19523360 24404200 30505250 39046720 48808400 61010500 76263125 97616800 122021000 152526250 195233600 244042000 305052500 381315625 488084000 610105000 762631250 976168000 1220210000 1525262500 1906578125 2440420000 3050525000 3813156250 4880840000 6101050000 7626312500 12202100000 15252625000 24404200000 30505250000 61010500000 122021000000