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1012001121220 = 225997101350101
BaseRepresentation
bin11101011100111111111…
…01111010001111000100
310120202011002122112212011
432232133331322033010
5113040034241334340
62052523520104004
7133054221412435
oct16563775721704
93522132575764
101012001121220
113602072829a1
12144171165004
137457b7337bb
1436da427748c
151b4d01590ea
hexeb9ff7a3c4

1012001121220 has 48 divisors (see below), whose sum is σ = 2129476488048. Its totient is φ = 403987161600.

The previous prime is 1012001121199. The next prime is 1012001121259. The reversal of 1012001121220 is 221211002101.

It can be written as a sum of positive squares in 8 ways, for example, as 187620655104 + 824380466116 = 433152^2 + 907954^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1012001121220.

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, 20174170 + ... + 20224270.

It is an arithmetic number, because the mean of its divisors is an integer number (44364093501).

Almost surely, 21012001121220 is an apocalyptic number.

1012001121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012001121220 is an abundant number, since it is smaller than the sum of its proper divisors (1117475366828).

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

1012001121220 is a wasteful number, since it uses less digits than its factorization.

1012001121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52120 (or 52118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012001121220 its reverse (221211002101), we get a palindrome (1233212123321).

The spelling of 1012001121220 in words is "one trillion, twelve billion, one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 997 1013 1994 2026 3988 4052 4985 5065 9970 10130 19940 20260 50101 100202 200404 250505 501010 1002020 1009961 2019922 4039844 5049805 10099610 20199220 49950697 50752313 99901394 101504626 199802788 203009252 249753485 253761565 499506970 507523130 999013940 1015046260 50600056061 101200112122 202400224244 253000280305 506000560610 1012001121220