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122021000040 = 23351016841667
BaseRepresentation
bin111000110100100000…
…1001011001101101000
3102122221212001001100210
41301221001023031220
53444344334000130
6132020005301120
711546536246542
oct1615101131550
9378855031323
10122021000040
1147826745395
121b7947047a0
13b677b05094
145c9790a692
1532926155b0
hex1c6904b368

122021000040 has 32 divisors (see below), whose sum is σ = 366063000480. Its totient is φ = 32538933312.

The previous prime is 122021000029. The next prime is 122021000041. The reversal of 122021000040 is 40000120221.

122021000040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (122021000041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508420714 + ... + 508420953.

It is an arithmetic number, because the mean of its divisors is an integer number (11439468765).

Almost surely, 2122021000040 is an apocalyptic number.

122021000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021000040 is an abundant number, since it is smaller than the sum of its proper divisors (244042000440).

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

122021000040 is a wasteful number, since it uses less digits than its factorization.

122021000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016841681 (or 1016841677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122021000040 its reverse (40000120221), we get a palindrome (162021120261).

The spelling of 122021000040 in words is "one hundred twenty-two billion, twenty-one million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1016841667 2033683334 3050525001 4067366668 5084208335 6101050002 8134733336 10168416670 12202100004 15252625005 20336833340 24404200008 30505250010 40673666680 61010500020 122021000040